[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 …

[HTML][HTML] Faber polynomial coefficient estimates for bi-univalent functions defined by using differential subordination and a certain fractional derivative operator

HM Srivastava, A Motamednezhad, EA Adegani - Mathematics, 2020‏ - mdpi.com
In this article, we introduce a general family of analytic and bi-univalent functions in the open
unit disk, which is defined by applying the principle of differential subordination between …

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] 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 …

New Families of Bi-univalent Functions Associated with the Bazilevič Functions and the -Pseudo-Starlike Functions

HM Srivastava, AK Wanas, HÖ Güney - Iranian Journal of Science and …, 2021‏ - Springer
In this article, we define two new families T _ Σ (μ, γ, λ; α) T Σ (μ, γ, λ; α) and T _ Σ^*(μ, γ, λ; β)
T Σ∗(μ, γ, λ; β) of normalized holomorphic and bi-univalent functions which involve the …

[HTML][HTML] Fekete-Szegö Type Problems and Their Applications for a Subclass of q-Starlike Functions with Respect to Symmetrical Points

HM Srivastava, N Khan, M Darus, S Khan, QZ Ahmad… - Mathematics, 2020‏ - mdpi.com
In this article, by using the concept of the quantum (or q-) calculus and a general conic
domain Ω k, q, we study a new subclass of normalized analytic functions with respect to …

A Subclass of q-Starlike Functions Defined by Using a Symmetric q-Derivative Operator and Related with Generalized Symmetric Conic Domains

S Khan, S Hussain, M Naeem, M Darus, A Rasheed - Mathematics, 2021‏ - mdpi.com
In this paper, the concepts of symmetric q-calculus and conic regions are used to define a
new domain Ω k, q, α˜, which generalizes the symmetric conic domains. By using the domain …

[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 …

[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 …