Sharp initial coefficient bounds and the Fekete–Szegö problem for some certain subclasses of analytic and bi-univalent functions

AB Patil, TG Shaba - Ukrains' kyi Matematychnyi Zhurnal, 2023 - umj.imath.kiev.ua
We introduce two new subclasses $\mathcal {U} _ {\Sigma}(\alpha,\lambda) $ and
${\mathcal {B} _1} _ {\Sigma}(\alpha) $ of analytic bi-univalent functions defined in the open …

Initial Taylor-Maclaurin coefficient bounds and the Fekete-Szegö problem for subclasses of m-fold symmetric analytic bi-univalent functions

SD Jadhav, AB Patil, IA Wani - TWMS Journal Of Applied And …, 2024 - belgelik.isikun.edu.tr
In the present paper, we introduce two new subclasses of the m-fold symmetric, analytic and
bi-univalent function class? m defined in the open unit disk D?:={z: z? C and| z|< 1}. These …

[PDF][PDF] Bounds on initial coefficients for a new subclass of bi-univalent functions

AB Patil, UH Naik - New Trends in Mathematical Sciences, 2018 - researchgate.net
In recent years, the study of bi-univalent functions have gathered momentum mainly due to
the pioneering work of Srivastava et al.[19], which has actually revived the study of the …

Estimation on initial coefficient bounds of generalized subclasses of bi-univalent functions

RS Khatu, UH Naik, AB Patil - International Journal of Nonlinear …, 2022 - ijnaa.semnan.ac.ir
In the present investigation, we introduce the two subclasses $ S^{\alpha} _
{\Sigma}(\gamma,\rho,\lambda,\mu,\xi,\delta) $ and $ S_ {\Sigma}(\gamma,\rho,\lambda,\mu …

[PDF][PDF] Certain new subclasses of analytic and bi-univalent functions using salagean operator

TG SHABA - Asia Pacific Journal of Mathematics, 2020 - apjm.apacific.org
A function ϕ (z)∈ T denoted by E is said to be bi-univalent in∆, considering that ϕ (z) and ϕ−
1 (z) are univalent in∆,(for more details see;[10],[22],[4],[1],[12],[3],[16],[21],[23],[15]). Also …

[PDF][PDF] Estimates on initial coefficients of certain subclasses of bi-univalent functions associated with the Hohlov operator

AB Patil, UH Naik - Palestine Journal of Mathematics, 2018 - researchgate.net
In the present investigation, we introduce certain subclasses of the function class Σ of bi-
univalent functions defined in the open unit disk U, which are associated with the Hohlov …

On coefficient inequalities of certain subclasses of bi-univalent functions involving the Sălăgean operator

AB Patil, UH Naik - Filomat, 2021 - doiserbia.nb.rs
In the present investigation, with motivation from the pioneering work of Srivastava et al.[28],
which in recent years actually revived the study of analytic and bi-univalent functions, we …

Sharp Initial Coefficient Bounds and the Fekete–Szegő Problem for Some Subclasses of Analytic and Bi-Univalent Functions

AB Patil, TG Shaba - Ukrainian Mathematical Journal, 2023 - Springer
We introduce two new subclasses U Σ (α, λ) and ℬ1Σ (α) of analytic bi-univalent functions
defined in an open unit disk 𝕌, which are associated with the Bazilevich functions. In …

Certain new subclasses of bi-univalent function associated with bounded boundary rotation involving salagean derivative

A Murugan, SM El-Deeb, MR Almutiri… - AIMS …, 2024 - scholarworks.bwise.kr
In this article, using the Salagean operator, we introduced three new subclasses of bi-
univalent functions associated with bounded boundary rotation in open unit disk E.. For …

[PDF][PDF] On initial Coefficients Estimates for Certain New Subclasses of Bi-Univalent Functions Defined by a Linear Combination

AK Al-Khafaji - Computer Science, 2020 - ijmcs.future-in-tech.net
In the present paper, we introduce and study coefficient bounds for certain new subclasses
of bi-univalent functions. For this purpose, we make use of a linear combination of the …