[HTML][HTML] 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 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 …

[PDF][PDF] Faber polynomial coefficient estimates of bi-close-to-convex functions connected with the Borel distribution of the Mittag-Leffler type

HM Srivastava, G Murugusundaramoorthy… - J. Nonlinear Var …, 2021‏ - jnva.biemdas.com
By using the Borel distribution series of the Mittag-Leffler type, we introduce a new class of
the bi-close-to-convex functions defined in the open unit disk. We then apply the Faber …

[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] 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 …

Applications of Certain Conic Domains to a Subclass of q-Starlike Functions Associated with the Janowski Functions

B Khan, HM Srivastava, N Khan, M Darus, QZ Ahmad… - Symmetry, 2021‏ - mdpi.com
In our present investigation, with the help of the basic (or q-) calculus, we first define a new
domain which involves the Janowski function. We also define a new subclass of the class of …

[HTML][HTML] A Class of k-Symmetric Harmonic Functions Involving a Certain q-Derivative Operator

HM Srivastava, N Khan, S Khan, QZ Ahmad, B Khan - Mathematics, 2021‏ - mdpi.com
In this paper, we introduce a new class of harmonic univalent functions with respect to k-
symmetric points by using a newly-defined q-analog of the derivative operator for complex …

[HTML][HTML] Coefficient Inequalities for Multivalent Janowski Type q-Starlike Functions Involving Certain Conic Domains

MS Ur Rehman, QZ Ahmad, I Al-Shbeil, S Ahmad… - Axioms, 2022‏ - mdpi.com
In the current work, by using the familiar q-calculus, first, we study certain generalized conic-
type regions. We then introduce and study a subclass of the multivalent q-starlike functions …

[HTML][HTML] Certain new subclass of multivalent q-starlike functions associated with q-symmetric calculus

MF Khan, A Goswami, S Khan - Fractal and Fractional, 2022‏ - mdpi.com
In our present investigation, we extend the idea of q-symmetric derivative operators to
multivalent functions and then define a new subclass of multivalent q-starlike functions. For …