[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 …

Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator

I Al-shbeil, J Gong, TG Shaba - Fractal and Fractional, 2023‏ - mdpi.com
This article defines a new operator called the q-Babalola convolution operator by using
quantum calculus and the convolution of normalized analytic functions in the open unit disk …

A certain q-Ruscheweyh type derivative operator and its applications involving multivalent functions

B Khan, HM Srivastava, S Arjika, S Khan… - Advances in Difference …, 2021‏ - Springer
In the present paper, by using the concept of convolution and q-calculus, we define a certain
q-derivative (or q-difference) operator for analytic and multivalent (or p-valent) functions …

[HTML][HTML] 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 …

[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 …

[HTML][HTML] A Subclass of Multivalent Janowski Type q-Starlike Functions and Its Consequences

Q Hu, HM Srivastava, B Ahmad, N Khan, MG Khan… - Symmetry, 2021‏ - mdpi.com
In this article, by utilizing the theory of quantum (or q-) calculus, we define a new subclass of
analytic and multivalent (or p-valent) functions class A p, where class A p is invariant (or …

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] 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 …

[PDF][PDF] Hankel and Toeplitz determinant for a subclass of multivalent q-starlike functions of order α

H Tang, S Khan, S Hussain, N Khan - AIMS Math, 2021‏ - academia.edu
In this paper our aim is to study some valuable problems dealing with newly defined
subclass of multivalent q-starlike functions. These problems include the initial coefficient …