Results 51 to 60 of about 140 (94)
On the Fekete and Szegö Problem for the Class of Starlike Mappings in Several Complex Variables
Abstract and Applied Analysis, 2014 Let S be the familiar class of normalized univalent functions in the unit disk. Fekete and Szegö proved the well-known result maxf∈Sa3-λa22=1+2e-2λ/(1-λ) for λ∈0, 1.
Qing-Hua Xu, Tai-Shun Liu
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Mathematics, 2023 One of the challenging tasks in the study of function theory is how to obtain sharp estimates of coefficients that appear in the Taylor–Maclaurin series of analytic univalent functions, and for obtaining these bounds, researchers used the concepts of ...
Isra Al-Shbeil +4 more
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On the Determinants for a Class of Analytic Function Using Sigmoid Beta‐Catas Operator
Journal of Function Spaces, Volume 2025, Issue 1, 2025.Geometric function theory (GFT) is the study of geometric properties of analytic functions. The cornerstone of GFT is the theory of univalent functions. Several related topics in GFT with various applications have been developed over the years, one of which includes the study of special functions.
Olubunmi A. Fadipe-Joseph +4 more
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Applications of a q-Salagean type operator on multivalent functions
Journal of Inequalities and Applications, 2018 In this paper, we introduce a new class k- US(q,γ,m,p) $\mathcal{US}(q,\gamma ,m,p)$, γ∈C∖{0} $\gamma \in\mathbb{C}\backslash \{0\}$, of multivalent functions using a newly defined q-analogue of a Salagean type differential operator.
Saqib Hussain +3 more
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Soft Riemann‐Hilbert problems and planar orthogonal polynomials
Communications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
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An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions
Axioms, 2022 The zero-truncated Poisson distribution is an important and appropriate model for many real-world applications. Here, we exploit the zero-truncated Poisson distribution probabilities to construct a new subclass of analytic bi-univalent functions ...
Feras Yousef +3 more
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Properties of a Linear Operator Involving Lambert Series and Rabotnov Function
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.This work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function σ(n) to introduce a normalized linear operator JRα,βz.
Jamal Salah, Bao Q. Li
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Maclaurin Coefficient Estimates of Bi-Univalent Functions Connected with the q-Derivative
Mathematics, 2020 In this paper we introduce a new subclass of the bi-univalent functions defined in the open unit disc and connected with a q-analogue derivative. We find estimates for the first two Taylor-Maclaurin coefficients a 2 and a 3 for ...
Sheza M. El-Deeb +2 more
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Journal of Inequalities and Applications, 2023 The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent functions. We discuss estimates on the Taylor–Maclaurin coefficients | a m + 1 | $|a_{m+1}|$ and | a 2 m + 1 | $|a_{2m+1}|$ , and the Fekete–Szegő problem is also ...
Daniel Breaz, Luminiţa-Ioana Cotîrlă
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Axioms, 2023 The purpose of this article is to introduce and study certain families of normalized certain functions with symmetric points connected to Gegenbauer polynomials.
Yahya Almalki +4 more
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