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 …

Upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with the q-exponential function

HM Srivastava, B Khan, N Khan, M Tahir… - Bulletin des Sciences …, 2021 - Elsevier
By making use of the concept of basic (or q-) calculus, a subclass S⁎(L, q) of q-starlike
functions, which is associated with the q-exponential function, is introduced here in the open …

[PDF][PDF] The Fekete-Szego ̈ functional and the Hankel determinant for a certain class of analytic functions involving the Hohlov operator

HM Srivastav, TG Shaba… - AIMS …, 2022 - eprints.lmu.edu.ng
The Fekete-Szeg\"{o} functional and the Hankel determinant for a certain class of analytic
functions involving the Hohlov o Page 1 http://www.aimspress.com/journal/Math AIMS …

Some subclasses of p-valent -uniformly type q-starlike and q-convex functions defined by using a certain generalized q-Bernardi integral operator

HM Srivastava, SH Hadi, M Darus - Revista de la Real Academia de …, 2023 - Springer
In this article, we introduce and investigate a generalized q-Bernardi integral operator (or (p,
q)-Bernardi integral operator) for analytic and p-valent (or multivalent) functions. By using …

Certain subclasses of analytic functions associated with generalized telephone numbers

G Murugusundaramoorthy, K Vijaya - Symmetry, 2022 - mdpi.com
The goal of this article is to contemplate coefficient estimates for a new class of analytic
functions f associated with generalized telephone numbers to originate certain initial Taylor …

An Upper Bound of the Third Hankel Determinant for a Subclass of q-Starlike Functions Associated with k-Fibonacci Numbers

M Shafiq, HM Srivastava, N Khan, QZ Ahmad, M Darus… - Symmetry, 2020 - mdpi.com
In this paper, we use q-derivative operator to define a new class of q-starlike functions
associated with k-Fibonacci numbers. This newly defined class is a subclass of class A of …

Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions

I Al-Shbeil, N Khan, F Tchier, Q Xin, SN Malik, S Khan - Axioms, 2023 - mdpi.com
We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in
this work. We provide estimates for the first two Taylor–Maclaurin series coefficients for these …

[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 …

[PDF][PDF] Partial sums of generalized q-Mittag-Leffler functions

MS Rehman, QZ Ahmad, HM Srivastava, B Khan… - Aims Math, 2019 - aimspress.com
Partial sums of generalized $q$-Mittag-Leffler functions Page 1 http://www.aimspress.com/journal/Math
AIMS Mathematics, 5(1): 408–420. DOI:10.3934/math.2020028 Received: 04 October 2019 …

Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions

SR Swamy, BA Frasin, I Aldawish - Mathematics, 2022 - mdpi.com
In the current work, we introduce a special family of the function family of analytic and m-fold
symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients …