Applications of q-derivative operator to subclasses of bi-univalent functions involving Gegenbauer polynomials

Q Hu, TG Shaba, J Younis, B Khan… - … in Science and …, 2022 - Taylor & Francis
In recent years, using the idea of analytic and bi-univalent functions, many ideas have been
developed by different well-known authors, but the using Gegenbauer polynomials along …

Coefficient bounds for a new family of bi-univalent functions associated with -Lucas polynomials

TG Shaba, AK Wanas - International Journal of Nonlinear …, 2022 - ijnaa.semnan.ac.ir
The aim of this paper is to use (U, V)-Lucas polynomials to introduce and study a new family
of holomorphic and bi-univalent functions defined in the open unit disk which involve q …

Fekete–Szegö Inequality for Bi‐Univalent Functions Subordinate to Horadam Polynomials

AE Shammaky, BA Frasin… - Journal of Function …, 2022 - Wiley Online Library
Making use of Horadam polynomials, we propose a special family of regular functions of the
type gz= z+∑ j= 2∞ djzj which are bi‐univalent (or bi‐schlicht) in the disc {z∈ ℂ:| z|< 1}. We …

[PDF][PDF] Coefficients Bounds for Certain New Subclasses of Meromorphic Bi-univalent Functions Associated with Al-Oboudi Differential Operator

TG Shaba, MG Khan, B Ahmad - Palestine Journal of …, 2021 - eprints.lmu.edu.ng
Coefficients Bounds for Certain New Subclasses of Meromorphic Bi-univalent Functions
Associated with Al-Oboudi Differential Oper Page 1 Palestine Journal of Mathematics Vol …

Generalized degenerate Stirling numbers arising from degenerate Boson normal ordering

T Kim, DS Kim, HK Kim - Applied Mathematics in Science and …, 2023 - Taylor & Francis
It is remarkable that, in recent years, intensive studies have been done for degenerate
versions of many special polynomials and numbers and have yielded many interesting …

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 …

Coefficient estimate problems for a new subclass of bi-univalent functions linked with the generalized bivariate fibonacci-like polynomial

HH Güleç, İ Aktaş - Journal of Engineering Technology and Applied …, 2024 - dergipark.org.tr
In this article, using the definition of generalized bivariate Fibonacci-like polynomials that
include Horadam and Chebyshev polynomials a novel subclass of bi-univalent functions are …

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 …

On Some Subclasses of m-fold Symmetric Bi-univalent Functions associated with the Sakaguchi Type Functions

IO Ibrahim, TG Shaba, AB Patil - Earthline Journal of …, 2022 - earthlinepublishers.com
In the present investigation, we introduce the subclasses $\Lambda_ {\Sigma_m}^{\
rightthreetimes}(\sigma,\phi,\upsilon) $ and $\Lambda_ {\Sigma_m}^{\rightthreetimes} …

[PDF][PDF] Coefficient bounds for a certain families of m-fold symmetric bi-univalent functions associated with q-analogue of Wanas operator

T Shaba, A Wanas - Acta Universitatis Apulensis, 2021 - eprints.lmu.edu.ng
Acta Universitatis Apulensis ISSN: 1582-5329 http://www.uab.ro/auajournal/ No. 68/2021 pp.
25-37 doi: 10.17114/j.aua.2021.68.03 Page 1 Acta Universitatis Apulensis ISSN: 1582-5329 …