PHD (Mathematics) 1995, UNIVERSITY OF MADRAS Madras Christian College: Chennai, 600059; TN, INDIA
M.Phil (Mathematics) 1990 UNIVERSITY OF MADRAS Madras Christian College(Autonomous): Chennai, 600059; TN, INDIA
M.Sc (Mathematics)-1989 UNIVERSITY OF MADRAS Loyola College(Autonomous): Chennai, 600034 TN, INDIA
B.Sc (Mathematics)-1987 UNIVERSITY OF MADRAS Sacred Heart College: Tirupattur, TN, INDIA
RESEARCH INTERESTS
Complex Analysis-Geometric Function Theory
263
Scopus Publications
4730
Scholar Citations
35
Scholar h-index
122
Scholar i10-index
Scopus Publications
Miller–Ross-functions coefficients and kernel-based CT-scan enhancement technique G. Murugusundaramoorthy, M. Nalliah Scientific Reports, 2026 In Digital Image Processing (DIP), image enhancement using univalent functions entails mapping pixel intensity values (gray levels) using one-to-one, invertible complex functions, frequently in the frequency domain or through specialized transformations, to stretch, compress, or redistribute intensities for improved visual quality or feature detection, such as boosting contrast or lowering noise, by making sure each input pixel maps uniquely to an output pixel, going beyond simple linear/non-linear transforms. In this paper, for the new subclasses $${\textbf{M}}_{\nu ,\wp }^{\varpi }(\varrho , \vartheta )$$ and $${\textbf{G}}_{\nu ,\wp }^{\varpi }(\varrho , \vartheta )$$ of $${\mathcal {A}}$$ in association with normalized form of Miller-Ross-type functions explored and the key coefficient inequality as given below $$\begin{aligned} |a_n|\le \frac{\vartheta |\varpi |}{\{[1+\varrho (n-1)](\vartheta |\varpi |-1)+n\} \Lambda _n} \end{aligned}$$where $$\zeta \in {\mathbb {V}} = \{\zeta \in {\mathbb {C}},\,\, |\zeta |<1 \},\,\, \varpi \in {\mathbb {C}}-\{0\}, \,\, 0<\vartheta \le 1,$$ $$\varrho \ge 0$$ is considered. By suitably fixing the parameters $$\varrho$$ and $$\varpi$$, in $$|a_n|$$ and using these coefficients we discuss their application to enhance medical images in image processing. Furthermore, we introduce a novel image sharpening methodology that leverages coefficient bounds derived from the Miller-Ross function with fixing the parameters $$\varrho$$ and $$\varpi$$ values, integrating these bounds into pre-processing strategies for enhancing medical CT images.
Bi- Starlike function of complex order involving Rabotnov function subordinated to Lucas Balancing polynomial K. Vijaya, G. Murugusundaramoorthy, Daniel Breaz, Luminiţa-Ioana Cotîrlă Analele Stiintifice Ale Universitatii Ovidius Constanta Seria Matematica, 2026 Considering the interesting results obtained recently by studying Rabotnov function, in this paper using the normalized Rabotnov function and the concept of subordination related with the Lucas Balancing polynomial, we defined two new subclasses of the bi-starlike and biconvex function of complex order in the open unit disc and obtained bounds of the initial Taylor-Maclaurin coefficients for functions in these classes. Furthermore, we have determined the Fekete-Szegö inequalities for function in the above mentioned classes. Several related corollaries are also presented.
An Application of Liouville–Caputo-Type Fractional Derivatives on Certain Subclasses of Bi-Univalent Functions Ibtisam Aldawish, Hari M. Srivastava, Sheza M. El-Deeb, Gangadharan Murugusundaramoorthy, Kaliappan Vijaya Fractal and Fractional, 2025 In this study, we present two novel subclasses of bi-univalent functions defined in the open unit disk, utilizing Liouville–Caputo fractional derivatives. We find constraints on initial Taylor coefficients |c2|, |c3| for functions in these subclasses of bi-univalent functions. Additionally, by using the values of a2,a3 we determine the Fekete–Szegö inequality results. Moreover, a few new subclasses are deduced that have not been studied in relation to Liouville–Caputo fractional derivatives so far. The implications of the results are also emphasized. Our results are concrete examples of several earlier discoveries that are not only improved but also expanded upon.
Q-Analogue of a p-harmonic mapping Saurabh Porwal, Omendra Mishra, G. Murugusundaramoorthy Asian European Journal of Mathematics, 2025 The primary objective of this paper is to explore a novel subclass [Formula: see text] of [Formula: see text]-harmonic mappings, along with the associated subclass [Formula: see text]. We demonstrate that the mapping [Formula: see text] is both univalent and sense-preserving within the unit disk [Formula: see text]. Furthermore, we determine the extreme points of [Formula: see text] and establish that [Formula: see text] is defined. Additional results include the derivation of distortion bounds, the convolution condition, and the convex combination for this subclass. Finally, we examine the class-preserving integral operator and introduce a [Formula: see text]-Jackson type integral operator.
Inequalities of a Class of Analytic Functions Involving Multiplicative Derivative Kadhavoor R. Karthikeyan, Daniel Breaz, Gangadharan Murugusundaramoorthy, Ganapathi Thirupathi Mathematics, 2025 Using the concepts of multiplicative calculus and subordination of analytic functions, we define a new class of starlike bi-univalent functions based on a symmetric operator, which involved the three parameter Mittag-Leffler function. Estimates for the initial coefficients and Fekete–Szegő inequalities of the defined function classes are determined. Moreover, special cases of the classes have been discussed and stated as corollaries, which have not been discussed previously.
Pseudo starlike functions involving convex combination of two starlike functions K. R. Karthikeyan, G. Murugusundaramoorthy Journal of Interdisciplinary Mathematics, 2025 In this paper, we introduce a new class of functions involving a familiar analytic characterization that was used to obtain sufficient conditions for starlikeness. We have discussed the impact of the convex combination of two starlike functions. The results obtained here extend or unify the various other well-known and new results.
Initial bounds for certain classes of bi-univalent functions involving Rabotnov function subordinated to Horadam polynomial Montes Taurus Journal of Pure and Applied Mathematics, 2024
CLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE (p, q)–DERIVATIVE OPERATOR FOR GENERALIZED DISTRIBUTION SATISFYING SUBORDINATE CONDITION Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2024
APPLICATION OF MITTAG–LEFFLER FUNCTION ON CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2023
COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH THE GEGENBAUER POLYNOMIAL Palestine Journal of Mathematics, 2023
SECOND HANKEL DETERMINANT FOR A CLASS OF ANALYTIC FUNCTIONS OF THE MITTAG-LEFFLER-TYPE BOREL DISTRIBUTION RELATED WITH LEGENDRE POLYNOMIALS Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2022
PASCAL DISTRIBUTION SERIES RELATED TO STARLIKE FUNCTIONS WITH RESPECT TO OTHER POINTS Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2022
Certain class of bi-univalent functions defined by quantum calculus operator associated with faber polynomial Sheza. M. El-Deeb, Department of Mathematics, College of Science, Arts in Al-Badaya, Qassim University, Buraidah, Saudi Arabia, Gangadharan Murugusundaramoorthy, Kaliyappan Vijaya, Alhanouf Alburaikan, Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, TN, India, Department of Mathematics, College of Science, Arts in Al-Badaya, Qassim University, Buraidah, Saudi Arabia Aims Mathematics, 2022
Coefficient estimate for class of meromorphic Bi-BazileviČ type functions associated with linear operator defined by convolution Jordan Journal of Mathematics and Statistics, 2021
Fekete-Szegö Inequalities for Certain Subclasses of Analytic Functions Related with Leaf-Like Domain Montes Taurus Journal of Pure and Applied Mathematics, 2021
An application of generalized distribution series on certain classes of univalent functions associated with conic domains Surveys in Mathematics and Its Applications, 2021
On a Class of Analytic Functions Related to Close-to-Convex Functions International Journal of Mathematics and Computer Science, 2021
New Subclasses of Bi-univalent Functions of Complex Order Associated with Hypergeometric Functions Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2021
Certain subclass of analytic functions with respect to symmetric points associated with conic region Huo Tang, School of Mathematics, Computer Sciences, Chifeng University, Chifeng 024000, Inner Mongolia, China, Kadhavoor Ragavan Karthikeyan, Gangadharan Murugusundaramoorthy, Department of Applied Mathematics, Science, National University of Science & Technology (By Merger of Caledonian College of Engineering, Oman Medical College), Sultanate of Oman, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, (Deemed to be University), Vellore, Tamilnadu, India Aims Mathematics, 2021
Some inequalities on bazilevič class of functions involving quasi-subordination K. R. Karthikeyan, Department of Applied Mathematics, Science, National University of Science & Technology (By Merger of Caledonian College of Engineering, Oman Medical College), Sultanate of Oman, G. Murugusundaramoorthy, N. E. Cho, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Deemed to be University, Vellore, Tamilnadu, India, Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea Aims Mathematics, 2021
Fekete-Szegö Problems for the kth Root Transform of Subclasses of Starlike and Convex Functions with Respect to Symmetric Points Montes Taurus Journal of Pure and Applied Mathematics, 2021
A certain family of Bi-Univalent functions associated with the pascal distribution series based upon the horadam polynomials Surveys in Mathematics and Its Applications, 2021
Bi-bazilevič functions of order ϑ + iδ associated with (P, q)− lucas polynomials Ala Amourah, Department of Mathematics, Faculty of Science, Technology, Irbid National University, Irbid, Jordan, B. A. Frasin, G. Murugusundaramoorthy, Tariq Al-Hawary, Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan, Department of Mathematics, School of Advanced Sciences, VIT, Vellore 632014, Tamilnadu, India, Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan Aims Mathematics, 2021
BOUNDS ON ZALCMAN CONJECTURE AND H2(2) OF λ-PSEUDO-STARLIKE FUNCTIONS RELATED TO A SHELL-LIKE DOMAIN Poincare Journal of Analysis and Applications, 2021
Mapping properties of janowski-type harmonic functions involving mittag-leffler function Murugusundaramoorthy Gangadharan, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University) Vellore - 632014, India, Vijaya Kaliyappan, Hijaz Ahmad, K. H. Mahmoud, E. M. Khalil, Department of Basic Sciences, University of Engineering, Technology Peshawar, Pakistan, Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy, Department of Physics, College of Khurma University College, Taif University, P.O. Box11099, Taif 21944, Saudi Arabia, Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia Aims Mathematics, 2021
Bounds for the coefficients of a class of analytic functions associated with conic domains Jordan Journal of Mathematics and Statistics, 2020
Retraction to “on certain subclasses of analytic functions associated with generalized struve functions” [thai journal of mathematics 17 (1) 217–228] Thai Journal of Mathematics, 2020
Subclass of analytic functions associated with pascal distribution series Al al-Bayt University, Mafraq, Jordan, B. A. Frasin, G. Murugusundaramoorthy, University Vellore, Tamilnadu, India, S. Yalcin, Bursa Uludag University, Bursa, Turkey Bulletin of the Transilvania University of Brasov Series III Mathematics Informatics Physics, 2020
Inclusion relation between subclasses of harmonic functions associated with Mittag-Leffler functions Mathematics in Engineering Science and Aerospace, 2020
On new subclasses of bi-starlike functions with bounded boundary rotation Yumao Li, 1 School of Mathematics, Computer Sciences, Chifeng University, Chifeng 024000, People’s Republic of China, K. Vijaya, G. Murugusundaramoorthy, Huo Tang, 2 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Deemed to be University, Vellore-632014, India Aims Mathematics, 2020
Properties for certain subclass of analytic functions Tamsui Oxford Journal of Information and Mathematical Sciences, 2018
Zalcman functional for class of λ−pseudo starlike functions associated with sigmoid function Bulletin of the Transilvania University of Brasov Series III Mathematics Informatics Physics, 2018
Bi-univalent functions of complex order based on quasi-subordinate conditions involving wright hypergeometric functions Journal of Computational Analysis and Applications, 2018
Geometric properties of Bessel functions for the classes of Janowski starlike and convex functions Journal of Computational Analysis and Applications, 2018
Parabolic starlike and uniformly convex functions associated with poisson distribution series Bulletin of the Transilvania University of Brasov Series III Mathematics Informatics Physics, 2017
Coefficient estimates of bi-bazilevic functions of complex order based on quasi subordination involving srivastava-attiya operator Indian Journal of Mathematics, 2016
Toeplitz matrices whose elements are the coefficients of analytic functions belonging to certain conic domains International Journal of Pure and Applied Mathematics, 2016
Inclusion properties for certain subclasses of analytic functions associated with bessel functions Journal of Computational Analysis and Applications, 2016
Coefficient estimates of mocanu-type meromorphic bi-univalent functions of complex order Proceedings of the Jangjeon Mathematical Society, 2016
On certain subclasses of analytic functions associated with generalized struve functions Buletinul Academiei De Stiinte A Republicii Moldova Matematica, 2015
Coefficient estimate of bi-univalent functions based on q-hypergeometric functions Applied Sciences, 2015
Coefficient estimate of Ma-Minda type bi-Bazilevič functions of complex order involving generalized operator International Journal of Pure and Applied Mathematics, 2015
Properties of hypergeometric functions related to uniformly convex and uniformly starlike functions Proceedings of the Jangjeon Mathematical Society, 2015
The Fekete-Szegö inequality for subclass of analytic functions of complex order Advanced Studies in Contemporary Mathematics Kyungshang, 2014
Partial sums of analytic functions associated with Hurwitz-Lerch Zeta function Advanced Studies in Contemporary Mathematics Kyungshang, 2014
Inclusion results on subclasses of starlike and convex functions associated with struve functions Italian Journal of Pure and Applied Mathematics, 2014
The second hankel determinant for certain classes of analytic univalent functions International Journal of Applied Engineering Research, 2014
Majorization for certain subclasses of p-valently analytic functions defined by generalized linear operator Far East Journal of Mathematical Sciences, 2014
Majorization for certain classes of analytic functions of complex order associated with the dziok-srivastava and the srivastava-wright convolution operators Tamsui Oxford Journal of Information and Mathematical Sciences, 2013
Harmonic starlike functions of complex order involving hypergeometric functions Matematicki Vesnik, 2012
On a certain class of harmonic functions associated with a convolution structure Mathematica, 2012
Subordination results for certain subclasses of analytic functions associated with hurwitz-lerch zeta function Advanced Studies in Contemporary Mathematics Kyungshang, 2011
Certain classes of multivalent functions with negative coefficients associated with a convolution structure Mathematical Communications, 2010
A generalized class of starlike functions associated with the wright hypergeometric function Matematicki Vesnik, 2010
A subclass of analytic functions associated with the Hurwitz-Lerch Zeta function Hacettepe Journal of Mathematics and Statistics, 2010
Differential subordination and superordination for multivalent functions Sut Journal of Mathematics, 2009
A generalized class of k-starlike functions with varying arguments of coefficients Journal of Inequalities in Pure and Applied Mathematics, 2009
Certain classes of p-valent functions associated with wright's generalized hypergeometric functions Acta Mathematica Universitatis Comenianae, 2009
A subclass of harmonic functions with varying arguments defined by Dziok-Srivastava operator Archivum Mathematicum, 2009
On a subclass of harmonic functions associated with Wright's generalized hypergeometric functions Hacettepe Journal of Mathematics and Statistics, 2009
On the Fekete-Szegö problem for some subclasses of analytic functions defined by convolution Journal of Combinatorial Mathematics and Combinatorial Computing, 2008
On a subclass of uniformly convex functions defined by the Dziok-Srivastava operator Australian Journal of Mathematical Analysis and Applications, 2008
Integral means for uniformly convex and starlike functions associated with generalized hypergeometric functions Journal of Inequalities in Pure and Applied Mathematics, 2007
On applications of Jung-Kim-Srivastava integral operator to a subclass of starlike functions with negative coefficients Journal of Computational Analysis and Applications, 2007
Differential subordinations and superordinations for analytic functions defined by the Dziok-Srivastava linear operator Journal of Inequalities in Pure and Applied Mathematics, 2006
A subclass of uniformly convex functions associated with certain fractional calculus operators Journal of Inequalities in Pure and Applied Mathematics, 2005
New subclasses of meromorphic p- valent functions Journal of Inequalities in Pure and Applied Mathematics, 2005
A new subclass of uniformly convex functions and a corresponding subclass of starlike functions with fixed second coefficient Journal of Inequalities in Pure and Applied Mathematics, 2004
RECENT SCHOLAR PUBLICATIONS
Miller–Ross-functions coefficients and kernel-based CT-scan enhancement technique G Murugusundaramoorthy, M Nalliah Scientific Reports , 2026 2026
Bi-Starlike function of complex order involving Rabotnov function subordinated to Lucas Balancing polynomial K Vijaya, G Murugusundaramoorthy, D Breaz, C Luminiţa-Ioana Analele Stiintifice ale Universitatii" Ovidius" Constanta. Seria Matematica … , 2026 2026
GRAPHICAL AND COEFFICIENT ANALYSIS OF ANALYTIC BI-UNIVALENT FUNCTIONS DEFINED BY BIVARIATE FIBONACCI-TYPE STRUCTURES A Akgul, G Murugusundaramoorthy Honam Mathematical Journal 48 (1), 73-86 , 2026 2026
CONSTRUCTION OF SYMMETRIC TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF SOKOL-STANKIEWICZ STARLIKE FUNCTIONS ENDOWED WITH q-DERIVATIVE OPERATOR. M NANDEESH, M SALESTINA, P ARCHANA, ... Journal of Computational Analysis & Applications 35 (1) , 2026 2026
INEQUALITIES FORMULATED BY A SPECIAL CLASS OF BAZILEVIČ FUNCTIONS COMBINING THE BELL SERIES G MURUGUSUNDARAMOORTHY, RW IBRAHIM Kragujevac Journal of Mathematics 50 (7), 1135-1147 , 2026 2026
A Subclass of Analytic Functions Involving Certain Mathieu-Type Series B Khan, G Murugusundaramoorthy, S Asif Advances in Analysis and Applied Mathematics 2 (2), 73-88 , 2025 2025 Citations: 2
Fekete-Szego Inequality for Analytic and Bi-Univalent Functions Related with Horadam Polynomials S Prathiba, T Rosy, G Murugusundaramoorthy South East Asian Journal of Mathematics & Mathematical Sciences 21 (3), 23 , 2025 2025
On Babalola-Type Bi-Starlike Functions Based on Erdély–Kober Fractional-Order Derivative Subordinate to Second Einstein Function G Murugusundaramoorthy, K Vijaya, LI Cotîrlǎ Complex Analysis and Operator Theory 19 (8), 1-16 , 2025 2025
Bi-Bazilevic functions based on Hurwitz-Lerch Zeta function associated with exponential Pareto distribution M Gangadharan Korean Journal of Mathematics 33 (3), 205-218 , 2025 2025
Fractional Analysis of Coefficient Estimates for Starlike Functions in Shell-Like Domains G Murugusundaramoorthy, AA Lupas, K Vijaya, MA Yousif, ... Fractals, 2540271 , 2025 2025
Third Hankel Determinant and Zalcman Functional for Sakaguchi Type Starlike Functions Involving q-Derivative Operator Related with Sine Function S Ashwini, MR Salestina, G Murugusundaramoorthy International Journal of Analysis and Applications 23, 209-209 , 2025 2025 Citations: 2
Estimate on Logarithmic Co-Efficients of Sokol-Stankiewicz Type Star-Like Function Associated with Caratheodory Functions M Nandeesh, MR Salestina, G Murugusundaramoorthy International Journal of Analysis and Applications 23, 191-191 , 2025 2025 Citations: 1
An Application of Liouville–Caputo-Type Fractional Derivatives on Certain Subclasses of Bi-Univalent Functions I Aldawish, HM Srivastava, SM El-Deeb, G Murugusundaramoorthy, ... Fractal and Fractional 9 (8), 505 , 2025 2025 Citations: 1
-Analogue of a -harmonic mapping S Porwal, O Mishra, G Murugusundaramoorthy Asian-European Journal of Mathematics 18 (07), 2550003 , 2025 2025
COEFFICIENT ESTIMATES FOR ANALYTIC FUNCTIONS SUBORDINATED TO THE FOUR LEAF FUNCTION G Murugusundaramoorthy, T Bulboaca Annals: Series on Mathematics & its Applications 17 (2) , 2025 2025
Coefficient functionals for Sakaguchi-type-Starlike functions subordinated to the three-leaf function G Murugusundaramoorthy, AA Lupas, A Alburaikan, SM El-Deeb Demonstratio Mathematica 58 (1), 20250123 , 2025 2025 Citations: 1
Certain Subclasses of Bi-univalent Functions Associated with (u, v)-Chebyshev Polynomials TG Shaba, S Yalçin, G Murugusundaramoorthy, M Darus Applied Mathematics-A Journal of Chinese Universities 40 (2), 429-442 , 2025 2025 Citations: 1
Universally prestarlike functions associated with generalized telephone numbers: G. Murugusundaramoorthy, HÖ Güney G Murugusundaramoorthy, HÖ Güney Afrika Matematika 36 (2), 87 , 2025 2025
Inequalities of a Class of Analytic Functions Involving Multiplicative Derivative KR Karthikeyan, D Breaz, G Murugusundaramoorthy, G Thirupathi Mathematics 13 (10), 1606 , 2025 2025
THE ( p , q )-ANALOG OF THE SĂLĂGEAN-TYPE MULTIVALENT HARMONIC FUNCTIONS ASSOCIATED WITH SUBORDINATION P Long, J Liu, M Gangadharan Journal of Mathematical Sciences 290 (4), 457-465 , 2025 2025
MOST CITED SCHOLAR PUBLICATIONS
Salagean-type harmonic univalent functions. JM Jahangiri, G Murugusundaramoorthy, K Vijaya Southwest Journal of Pure and Applied Mathematics [electronic only] 2002, 77-82 , 2002 2002 Citations: 171
Coefficient Bounds for Certain Subclasses of Bi‐Univalent Function G Murugusundaramoorthy, N Magesh, V Prameela Abstract and Applied Analysis 2013 (1), 573017 , 2013 2013 Citations: 159
Certain subclasses of bi-univalent functions associated with the Hohlov operator HM Srivastava, G Murugusundaramoorthy, N Magesh Global J. Math. Anal 1 (2), 67-73 , 2013 2013 Citations: 131
Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series G Murugusundaramoorthy, K Viyaja Hacettepe Journal of Mathematics and Statistics 45 (4), 1101-1107 , 2016 2016 Citations: 116
Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers HÖ Güney, G Murugusundaramoorthy, J Sokół Acta Universitatis Sapientiae, Mathematica 10 (1), 70-84 , 2018 2018 Citations: 112
Neighborhoods of certain classes of analytic functions of complex order G Murugusundaramoorthy, HM Srivastava J. Inequal. Pure Appl. Math 5 (2), 1-8 , 2004 2004 Citations: 112
Subclasses of uniformly convex and uniformly starlike functions KG Subramanian Mathematica japonicae 42 (3), 517-522 , 1995 1995 Citations: 109
Hypergeometric functions in the parabolic starlike and uniformly convex domains HM Srivastava, G Murugusundaramoorthy, S Sivasubramanian Integral Transforms and Special Functions 18 (7), 511-520 , 2007 2007 Citations: 105
COEFFICIENT INEQUALITIES FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH HANKEL DETERMINANT (DEDICATED IN OCCASION OF THE 65-YEARS OF PROFESSOR RK RAINA) G Murugusundaramoorthy, N Magesh Bulletin of Mathematical Analysis and Applications 1 (3), 85-89 , 2009 2009 Citations: 99
Subclasses of starlike and convex functions involving Poisson distribution series G Murugusundaramoorthy Afrika Matematika 28 (7), 1357-1366 , 2017 2017 Citations: 94
Fekete–Szegö functional problems for some subclasses of bi-univalent functions defined by Frasin differential operator F Yousef, T Al-Hawary, G Murugusundaramoorthy Afrika Matematika 30 (3), 495-503 , 2019 2019 Citations: 74
A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials HM Srivastava, AK Wanas, G Murugusundaramoorthy Surv. Math. Appl 16, 193-205 , 2021 2021 Citations: 64
Sigmoid function in the space of univalent λ-Pseudo starlike functions G Murugusundaramoorthy, T Janani Int. J. Pure Appl. Math 101 (1), 33-41 , 2015 2015 Citations: 64
Coefficient estimate of biunivalent functions of complex order associated with the hohlov operator Z Peng, G Murugusundaramoorthy, T Janani Journal of Complex analysis 2014 (1), 693908 , 2014 2014 Citations: 63
Bi-Bazilevic functions of order ϑ+ iδ associated with (p, q)-Lucas polynomials A Amourah, BA Frasin, G Murugusundaramoorthy, T Al-Hawary AIMS Math 6 (5), 4296-4305 , 2021 2021 Citations: 60
Neighbourhoods and partial sums of starlike functions based on Ruscheweyh derivatives T Rosy, KG Subramanian, G Murugusundaramoorthy J. Ineq. pure and appl. Math 4 (4) , 2003 2003 Citations: 60
The second Hankel determinant for subclasses of bi-univalent functions associated with a nephroid domain HM Srivastava, G Murugusundaramoorthy, T Bulboacă Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie … , 2022 2022 Citations: 55
Univalent functions with positive coefficients involving Pascal distribution series T Bulboaca, G Murugusundaramoorthy Commun. Korean Math. Soc 35 (3), 867-877 , 2020 2020 Citations: 55
Coefficient estimates for some families of bi-Bazilevic functions of the Ma-Minda type involving the Hohlov operator HM Srivastava, G Murugusundaramoorthy, K Vijaya J. Class. Anal 2 (2), 167-181 , 2013 2013 Citations: 53
Faber polynomial coefficient estimates of bi-close-to-convex functions connected with the Borel distribution of the Mittag-Leffler type HM Srivastava, G Murugusundaramoorthy, SM El-Deeb J. Nonlinear Var. Anal 5 (1), 103-118 , 2021 2021 Citations: 45