Results 41 to 50 of about 146 (91)

Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function

Journal of Mathematics, Volume 2026, Issue 1, 2026.
For −1 ≤ λ ≤ 1, let Cλ be a subclass of convex functions associated with the Pascal snail function, analytically defined by the subordination relation, (1 + τf″(τ)/f′(τ))≺1/(1 − λτ). In this article, we have presented the initial coefficient bounds for the functions f in the class Cλ. We have also established the bounds on the Hankel determinants |H2,1(
Arooj Fatima, Umar Raza, Afis Saliu, Tanweer Sohail, Mohammad W. Alomari   +4 more
wiley   +1 more source

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, Shahid Khan, Muhammad Asad Zaighum, Maslina Darus   +3 more
doaj   +1 more source

Coefficient Bounds and Fekete–Szegö Inequalities for a New Family of Bi‐Univalent Functions Associated With Horadam Polynomial

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We define in this paper a new class of normalized bi‐univalent functions through Horadam polynomials. The main aim of this paper is to provide sharp estimates for the second and third Taylor–Maclaurin coefficients of functions in this new class. We also obtain the Fekete–Szegö inequality for these functions.
Musthafa Ibrahim, Jihad Younis, Ali N. A. Koam, Mohammad Uzair Shah, Smritijit Sen   +4 more
wiley   +1 more source

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, Ala Amourah, Basem Aref Frasin, Teodor Bulboacă   +3 more
doaj   +1 more source

Fekete–Szegö Variations for Some New Classes of Analytic Functions Explained Over Poisson and Borel Distribution Series

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9241-9252, 30 May 2025.
ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
wiley   +1 more source

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, Teodor Bulboacă, Bassant M. El-Matary   +2 more
doaj   +1 more source

The study of coefficient estimates and Fekete–Szegö inequalities for the new classes of m-fold symmetric bi-univalent functions defined using an operator

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
doaj   +1 more source

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, Olanike R. Oluwaseyi, E. O. Opaleye, Uzoamaka A. Ezeafulukwe, John R. Akeroyd   +4 more
wiley   +1 more source

Coefficient Bounds and Fekete–Szegö Inequalities for a Two Families of Bi-Univalent Functions Related to Gegenbauer Polynomials

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, Abbas Kareem Wanas, Timilehin Gideon Shaba, Alina Alb Lupaş, Mohamed Abdalla   +4 more
doaj   +1 more source

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
wiley   +1 more source