Sandwich Results for Holomorphic Functions Related to an Integral Operator Amal Mohammed Darweesh, Adel Salim Tayyah, Sarem H. Hadi, Alina Alb Lupaş Fractal and Fractional, 2026 In this paper, we introduce a new logarithmic integral operator that unifies differentiation and fractional integration within the complex domain. The present work addresses this gap by applying the proposed operator to analytic functions represented by alternating power series. The method demonstrates that the coefficients can be reorganized in a controlled manner without affecting convergence or analytic behavior. Using this framework, we derive third-order differential subordination and superordination results, which naturally lead to corresponding sandwich-type results. The findings confirm that the introduced operator offers an effective analytical tool for studying distortion, growth, and mapping properties of analytic functions, with promising potential for future applications in fluid mechanics.
Sharp Functional Inequalities for Starlike and Convex Functions Defined via a Single-Lobed Elliptic Domain Adel Salim Tayyah, Sarem H. Hadi, Abdullah Alatawi, Muhammad Abbas, Ovidiu Bagdasar Mathematics, 2025 In this paper, we introduce two novel subclasses of analytic functions, namely, starlike and convex functions of Ma–Minda-type, associated with a newly proposed domain. We set sharp bounds on the basic coefficients of these classes and provide sharp estimates of the second- and third-order Hankel determinants, demonstrating the power of our analytic approach, the clarity of its results, and its applicability even in unconventional domains.
Toeplitz Determinants for Inverse of Analytic Functions Sarem H. Hadi, Yahea Hashem Saleem, Alina Alb Lupaş, Khalid M. K. Alshammari, Abdullah Alatawi Mathematics, 2025 Estimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic functions themselves. The challenge lies in finding the sharp estimate for the functionals. While some recent studies have made progress in calculating the sharp boundary values of Hankel determinants associated with inverse functions, the Toeplitz determinant is yet to be addressed. Our research aims to estimate the determinants of the Toeplitz matrix, which is also linked to inverse functions. We also focus on computing these determinants for familiar analytical functions (pre-starlike, starlike, convex, symmetric-starlike) while investigating coefficient values. The study also provides an improvement to the estimation of the determinants of the pre-starlike class presented by Li and Gou.
Coefficients bounds for certain families of q-holomorphic multivalent functions involving Srivastava-Hadi-Darus operator SH Hadi, KA Challab, A Alatawi, ZS Madhi, M Darus Results in Nonlinear Analysis 9 (1), 65–78-65–78 , 2026 2026
Estimate of functional inequalities for a family of holomorphic functions subordinated to a C-shaped domain SH Hadi, AS Tayyah, AA Attiya Scientific African, e03343 , 2026 2026
Sandwich results for holomorphic functions related to an integral operator AM Darweesh, AS Tayyah, SH Hadi, AA Lupaş Fractal and Fractional 10 (3), 171 , 2026 2026 Citations: 2
A class of bi-univalent functions subordinate to the β-Gregory function with an application SH Hadi, YH Saleem, A Alatawi, M Darus, AA Lupaş AIMS Mathematics 11 (4), 11993-12010 , 2026 2026
Sharp functional inequalities for starlike and convex functions defined via a single-lobed elliptic domain AS Tayyah, SH Hadi, A Alatawi, M Abbas, O Bagdasar Mathematics 13 (21), 3367 , 2025 2025 Citations: 6
Toeplitz determinants for inverse of analytic functions SH Hadi, YH Saleem, AA Lupaş, KMK Alshammari, A Alatawi Mathematics 13 (4), 676 , 2025 2025 Citations: 6
Toeplitz Determinants for Inverse of Analytic Functions YH Saleem Mathematics MDPI , 2025 2025
Hankel and Toeplitz Determinants for [Formula: see text]-Starlike Functions Involving a [Formula: see text]-Analog Integral Operator and [Formula: see text]-Exponential Function SH Hadi, M Darus, RW Ibrahim Journal of Function Spaces (Web) 2025 , 2025 2025
Classes of Ma–Minda type analytic functions associated with a kidney-shaped domain AS Tayyah, SH Hadi, ZG Wang, AA Lupas AIMS Math 10, 22445-22470 , 2025 2025 Citations: 6
Hankel and Toeplitz Determinants for q ‐Starlike Functions Involving a q ‐Analog Integral Operator and q ‐Exponential Function SH Hadi, M Darus, RW Ibrahim Journal of Function Spaces 2025 (1), 2771341 , 2025 2025 Citations: 6
On a generalized class of q-Gegenbauer polynomials and subordination-defined bi-univalent functions A Alatawi, SH Hadi, YT Laz Open Journal of Mathematical Analysis (OMA) 9, 77-84 , 2025 2025 Citations: 1
On classes of ζ -uniformly q -analogue of analytic functions with some subordination results SH Hadi, M Darus, B Alamri, Ş Altınkaya, A Alatawi Applied Mathematics in Science and Engineering 32 (1), 2312803 , 2024 2024 Citations: 14
A ϱ-Weyl fractional operator of the extended S-type function in a complex domain SH Hadi, KA Challab, AH Ali, AA Alatawi MethodsX 13, 103061 , 2024 2024
Boundary values of Hankel and Toeplitz determinants for q-convex functions SH Hadi, TG Shaba, ZS Madhi, M Darus, AA Lupaş, F Tchier MethodsX 13, 102842 , 2024 2024 Citations: 8
Third-order Hankel determinants for q -analogue analytic functions defined by a modified q -Bernardi integral operator SH Hadi, M Darus, RW Ibrahim Quaestiones Mathematicae 47 (10), 2109-2131 , 2024 2024 Citations: 8
Partial sums of a generalized q -differential operator SH Hadi, M Darus AIP Conference Proceedings 2905 (1), 070002 , 2024 2024 Citations: 2
Sandwich-Type Theorems for a Family of Non-Bazilevič Functions Involving a q -Analog Integral Operator SH Hadi, M Darus, F Ghanim, A Alb Lupaş Mathematics 11 (11), 2479 , 2023 2023 Citations: 13
Correction to: Some subclasses of p -valent -uniformly type q -starlike and q -convex functions defined by using a certain generalized q -Bernardi integral operator HM Srivastava, SH Hadi, M Darus Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie … , 2023 2023 Citations: 5
A Class of Janowski-Type ( p , q )-Convex Harmonic Functions Involving a Generalized q -Mittag–Leffler Function SH Hadi, M Darus, A Alb Lupaş Axioms 12 (2), 190 , 2023 2023 Citations: 17
A Class of Janowski-Type (p, q)-Convex Harmonic Functions Involving SH Hadi, M Darus, AA Lupas 2023
MOST CITED SCHOLAR PUBLICATIONS
Some geometric properties of multivalent functions associated with a new generalized q-Mittag-Leffler function JRL Sarem H. Hadi, Maslina Darus, Choonkil Park AIMS Mathematics 7 (7), 11772–11783 , 2022 2022 Citations: 24
Some subclasses of p -valent -uniformly type q -starlike and q -convex functions defined by using a certain generalized q -Bernardi integral operator HM Srivastava, SH Hadi, M Darus Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie … , 2023 2023 Citations: 23
Differential subordination and superordination of a -derivative operator connected with the -exponential function SH Hadi, M Darus International Journal of Nonlinear Analysis and Applications 13 (2), 2795-2806 , 2022 2022 Citations: 22
Integrable functions of fuzzy cone and ξ - fuzzy cone and their application in the fixed point theorem SH Hadi, AH Ali Journal of Interdisciplinary Mathematics 25 (2), 247-258 , 2022 2022 Citations: 19
A Class of Janowski-Type ( p , q )-Convex Harmonic Functions Involving a Generalized q -Mittag–Leffler Function SH Hadi, M Darus, A Alb Lupaş Axioms 12 (2), 190 , 2023 2023 Citations: 17
Bi-univalent functions of order ζ connected with (m, n)- Lucas polynomials TB Sarem H. Hadi, Maslina Darus J. Math. Computer Sci. 31, 433–447 , 2023 2023 Citations: 16
-Chebyshev polynomials for the families of biunivalent function associating a new integral operator with -Hurwitz zeta function SH HADI, M DARUS Turkish Journal of Mathematics 46 (6), 2415-2429 , 2022 2022 Citations: 16
On classes of ζ -uniformly q -analogue of analytic functions with some subordination results SH Hadi, M Darus, B Alamri, Ş Altınkaya, A Alatawi Applied Mathematics in Science and Engineering 32 (1), 2312803 , 2024 2024 Citations: 14
Sandwich-Type Theorems for a Family of Non-Bazilevič Functions Involving a q -Analog Integral Operator SH Hadi, M Darus, F Ghanim, A Alb Lupaş Mathematics 11 (11), 2479 , 2023 2023 Citations: 13
Boundary values of Hankel and Toeplitz determinants for q-convex functions SH Hadi, TG Shaba, ZS Madhi, M Darus, AA Lupaş, F Tchier MethodsX 13, 102842 , 2024 2024 Citations: 8
Third-order Hankel determinants for q -analogue analytic functions defined by a modified q -Bernardi integral operator SH Hadi, M Darus, RW Ibrahim Quaestiones Mathematicae 47 (10), 2109-2131 , 2024 2024 Citations: 8
Sharp functional inequalities for starlike and convex functions defined via a single-lobed elliptic domain AS Tayyah, SH Hadi, A Alatawi, M Abbas, O Bagdasar Mathematics 13 (21), 3367 , 2025 2025 Citations: 6
Toeplitz determinants for inverse of analytic functions SH Hadi, YH Saleem, AA Lupaş, KMK Alshammari, A Alatawi Mathematics 13 (4), 676 , 2025 2025 Citations: 6
Classes of Ma–Minda type analytic functions associated with a kidney-shaped domain AS Tayyah, SH Hadi, ZG Wang, AA Lupas AIMS Math 10, 22445-22470 , 2025 2025 Citations: 6
Hankel and Toeplitz Determinants for q ‐Starlike Functions Involving a q ‐Analog Integral Operator and q ‐Exponential Function SH Hadi, M Darus, RW Ibrahim Journal of Function Spaces 2025 (1), 2771341 , 2025 2025 Citations: 6
A CLASS OF HARMONIC (𝑝, 𝑞)-STARLIKE FUNCTIONS INVOLVING A GENERALIZED (𝑝, 𝑞)-BERNARDI INTEGRAL OPERATOR SH Hadi, M Darus Проблемы анализа 12 (2), 17-36 , 2023 2023 Citations: 6
On---Contraction in Fuzzy Metric Space and its Application NF AL-Mayahi, SH Hadi Gen 26 (2), 104-118 , 2015 2015 Citations: 6
Correction to: Some subclasses of p -valent -uniformly type q -starlike and q -convex functions defined by using a certain generalized q -Bernardi integral operator HM Srivastava, SH Hadi, M Darus Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie … , 2023 2023 Citations: 5
Fixed-point theorems of FR-Ćirić-pata type in Fuzzy-Riesz I-Convex Metric Space (FRCMS) SH Hadi, ZS Madhi Journal of Interdisciplinary Mathematics 24 (8), 2181-2193 , 2021 2021 Citations: 4
Some new result of compact sets in fuzzy metric space NF Al-Mayahi, SH Hadi Journal of Al-Qadisiyah for computer science and mathematics 6 (2), 77-82 , 2014 2014 Citations: 4