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 …

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 …

Upper Bound of the Third Hankel Determinant for a Subclass of q-Starlike Functions

S Mahmood, HM Srivastava, N Khan, QZ Ahmad… - Symmetry, 2019 - mdpi.com
The main purpose of this article is to find the upper bound of the third Hankel determinant for
a family of q-starlike functions which are associated with the Ruscheweyh-type q-derivative …

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 …

On quantum hybrid fractional conformable differential and integral operators in a complex domain

RW Ibrahim, D Baleanu - Revista de la Real Academia de Ciencias …, 2021 - Springer
Newly, the hybrid fractional differential operator (HFDO) is presented and studied in Baleanu
et al.(Mathematics 8.3: 360, 2020). This work deals with the extension of HFDO to the …

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 …