Operators of Basic (or q-) Calculus and Fractional q-Calculus and Their Applications in Geometric Function Theory of Complex Analysis

HM Srivastava - Iranian Journal of Science and Technology …, 2020 - Springer
Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric
functions and basic (or q-) hypergeometric polynomials, are known to have widespread …

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 …

A Study of Multivalent q-starlike Functions Connected with Circular Domain

L Shi, Q Khan, G Srivastava, JL Liu, M Arif - Mathematics, 2019 - mdpi.com
Starlike functions have gained popularity both in literature and in usage over the past
decade. In this paper, our aim is to examine some useful problems dealing with q-starlike …

[PDF][PDF] On q-analogue of meromorphic multivalent functions in lemniscate of Bernoulli domain

B Ahmad, MG Khan, BA Frasin, MK Aouf… - AIMS Math, 2021 - aimspress.com
Utilizing the concepts from q-calculus in the field of geometric function theory, we introduce a
subclass of p-valent meromorphic functions relating to the domain of lemniscate of Bernoulli …

Coefficient estimates for a certain family of analytic functions involving a q-derivative operator

M Raza, HM Srivastava, M Arif, K Ahmad - The Ramanujan Journal, 2021 - Springer
In this paper, we study the coefficient estimates for a class of analytic functions defined by
using the q-Ruscheweyh derivative operator. In particular, we investigate the first four …

[PDF][PDF] Some properties of analytic functions associated with fractional q-calculus operators

HM Srivastava, MK Aouf, AO Mostafa - Miskolc Mathematical Notes, 2019 - real.mtak.hu
By applying a fractional q-calculus operator, we define the subclasses Sn.; ˇ; b; q/and Gn.; ˇ;
b; q/of normalized analytic functions with complex order and negative coefficients. Among …

Convolution properties for classes of bounded analytic functions with complex order defined by derivative operator

MK Aouf, TM Seoudy - Revista de la Real Academia de Ciencias Exactas …, 2019 - Springer
Convolution properties for classes of bounded analytic functions with complex order defined
by $$q-$$ derivative operator | SpringerLink Skip to main content Advertisement SpringerLink …

Certain subclasses of analytic functions with varying arguments associated with q-difference operator

MK Aouf, AO Mostafa, RE Elmorsy - Afrika Matematika, 2021 - Springer
Certain subclasses of analytic functions with varying arguments associated with q-difference
operator | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a …

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 …

[PDF][PDF] Some subordinating results for classes of functions defined by Sǎlǎgean type q derivative operator

MK Aouf, AO Mostafa - Filomat, 2020 - doiserbia.nb.rs
Some Subordinating Results for Classes of Functions Defined by Salagean Type q Derivative
Operator Page 1 Filomat 34:7 (2020), 2283–2292 https://doi.org/10.2298/FIL2007283A …