Initial coefficients estimates and Fekete–Szegö inequality problem for a general subclass of bi-univalent functions defined by subordination

M Illafe, F Yousef, M Haji Mohd, S Supramaniam - Axioms, 2023 - mdpi.com
In the present work, we aim to introduce and investigate a novel comprehensive subclass of
normalized analytic bi-univalent functions involving Gegenbauer polynomials and the zero …

Some results of new subclasses for bi-univalent functions using quasi-subordination

WG Atshan, IAR Rahman, AA Lupaş - Symmetry, 2021 - mdpi.com
In this paper, we introduce new subclasses R Σ, b, c μ, α λ, δ, τ, Φ and K Σ, b, c μ, α λ, δ, η, Φ
of bi-univalent functions in the open unit disk U by using quasi-subordination conditions and …

Starlike functions of complex order with respect to symmetric points defined using higher order derivatives

KR Karthikeyan, S Lakshmi, S Varadharajan… - Fractal and …, 2022 - mdpi.com
In this paper, we introduce and study a new subclass of multivalent functions with respect to
symmetric points involving higher order derivatives. In order to unify and extend various well …

The Fekete-Szegö functional for a subclass of analytic functions associated with quasi-subordination

HM Srivastava, S Hussain, A Raziq, M Raza - Carpathian Journal of …, 2018 - JSTOR
In the present paper, we introduce and investigate the Fekete-Szegö functional associated
with a new subclass of analytic functions, which we have defined here by using the principle …

Fekete-Szegö inequalities for quasi-subordination functions classes of complex order

R El-Ashwah, S Kanas - Kyungpook Mathematical Journal, 2015 - koreascience.kr
Fekete-Szegö Inequalities for Quasi-Subordination Functions Classes of Complex Order Page
1 KYUNGPOOK Math. J. 55(2015), 679-688 http://dx.doi.org/10.5666/KMJ.2015.55.3.679 pISSN …

Certain results on q-starlike and q-convex error functions

C Ramachandran, L Vanitha, S Kanas - Mathematica Slovaca, 2018 - degruyter.com
The error function occurs widely in multiple areas of mathematics, mathematical physics and
natural sciences. There has been no work in this area for the past four decades. In this …

[HTML][HTML] On the Fekete–Szegö Problem for Certain Classes of (γ,δ)-Starlike and (γ,δ)-Convex Functions Related to Quasi-Subordinations

NS Almutairi, A Shahen, A Cătaş, H Darwish - Symmetry, 2024 - mdpi.com
In the present paper, we propose new generalized classes of (p, q)-starlike and (p, q)-
convex functions. These classes are introduced by making use of a (p, q)-derivative …

Horadam polynomial coefficient estimates for two families of holomorphic and bi-univalent functions

SR Swamy, Y Sailaja - International Journal of Mathematics Trends …, 2020 - ijmttjournal.org
We aim at introducing two new families of holomorphic and bi-univalent functions in the
open unit disc D by making use of Horadam polynomials, which are known to generalize …

[PDF][PDF] Bounds for probabilities of the generalized distribution defined by generalized polylogarithm

AT Oladipo - Punjab University Journal of Mathematics, 2020 - journals.pu.edu.pk
The paper investigated the polynomials whose coefficients are generalized distribution.
Convolution via generalized polylogarithm and subordination methods were employed to …

Certain Subclasses of Bistarlike and Biconvex Functions Based on Quasi‐Subordination

N Magesh, VK Balaji, J Yamini - Abstract and Applied Analysis, 2016 - Wiley Online Library
We introduce the unified biunivalent function class M q, σ δ, λ (γ, φ) defined based on quasi‐
subordination and obtained the coefficient estimates for Taylor‐Maclaurin coefficients| a2 …