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 …

A study of sharp coefficient bounds for a new subfamily of starlike functions

K Ullah, HM Srivastava, A Rafiq, M Arif… - Journal of Inequalities and …, 2021 - Springer
In this article, by employing the hyperbolic tangent function tanh z, a subfamily S tanh∗
S_\tanh^∗ of starlike functions in the open unit disk D⊂ CD⊂C: D= z: z∈ C and| z|< 1 …

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 …

An investigation of the third Hankel determinant problem for certain subfamilies of univalent functions involving the exponential function

L Shi, HM Srivastava, M Arif, S Hussain, H Khan - Symmetry, 2019 - mdpi.com
In the current article, we consider certain subfamilies S e∗ and C e of univalent functions
associated with exponential functions which are symmetric along real axis in the region of …

Geometric Properties of Certain Classes of Analytic Functions Associated with a q-Integral Operator

S Mahmood, N Raza, ESA AbuJarad, G Srivastava… - Symmetry, 2019 - mdpi.com
This article presents certain families of analytic functions regarding q-starlikeness and q-
convexity of complex order γ (γ∈ C\0). This introduced aq-integral operator and certain …

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 …

Sharp Bounds of the Coefficient Results for the Family of Bounded Turning Functions Associated with a Petal‐Shaped Domain

OM Barukab, M Arif, M Abbas… - Journal of Function …, 2021 - Wiley Online Library
The goal of this article is to determine sharp inequalities of certain coefficient‐related
problems for the functions of bounded turning class subordinated with a petal‐shaped …