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] Applications of a certain q-integral operator to the subclasses of analytic and bi-univalent functions

B Khan, HM Srivastava, M Tahir, M Darus, QZ Ahmad… - AIMS Math, 2021 - aimspress.com
In the present investigation, our aim is to define a generalized subclass of analytic and
biunivalent functions associated with a certain q-integral operator in the open unit disk U …

Some general families of q-starlike functions associated with the Janowski functions

HM Srivastava, M Tahir, B Khan, QZ Ahmad, N Khan - Filomat, 2019 - doiserbia.nb.rs
By making use of the concept of basic (or q-) calculus, various families of q-extensions of
starlike functions, which are associated with the Janowski functions in the open unit disk U …

Fekete-Szegö inequality for classes of (pq)-Starlike and (pq)-convex functions

HM Srivastava, N Raza, ESA AbuJarad… - Revista de la Real …, 2019 - Springer
In this paper, the new generalized classes of (p, q)-starlike and (p, q)-convex functions are
introduced by using the (p, q)-derivative operator. Also, the (p, q)-Bernardi integral operator …

Coefficient Estimates for a Subclass of Meromorphic Multivalent q-Close-to-Convex Functions

L Shi, B Ahmad, N Khan, MG Khan, S Araci… - Symmetry, 2021 - mdpi.com
By making use of the concept of basic (or q-) calculus, many subclasses of analytic and
symmetric q-starlike functions have been defined and studied from different viewpoints and …

A Study of Some Families of Multivalent q-Starlike Functions Involving Higher-Order q-Derivatives

B Khan, ZG Liu, HM Srivastava, N Khan, M Darus… - Mathematics, 2020 - mdpi.com
In the present investigation, by using certain higher-order q-derivatives, the authors
introduce and investigate several new subclasses of the family of multivalent q-starlike …

Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

I Al-shbeil, J Gong, S Khan, N Khan, A Khan… - Fractal and …, 2022 - mdpi.com
This paper considers the basic concepts of q-calculus and the principle of subordination. We
define a new subclass of q-starlike functions related to the Salagean q-differential operator …

Applications of higher-order derivatives to subclasses of multivalent q-starlike functions

B Khan, ZG Liu, HM Srivastava… - … Journal of Science …, 2021 - search.proquest.com
Three new subfamilies of multivalent (or p-valent) g-starlike functions with respect to higher-
order g-derivatives are introduced. Several properties of such families of g-starlike functions …

[PDF][PDF] Applications of higher-order q-derivatives to the subclass of q-starlike functions associated with the Janowski functions

MSU Rehman, QZ Ahmad, HM Srivastava, N Khan… - AIMS Math, 2021 - aimspress.com
In this paper, we first investigate some subclasses of q-starlike functions. We then apply
higher-order q-derivative operators to introduce and study a new subclass of q-starlike …