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 …

Higher-order q-derivatives and their applications to subclasses of multivalent Janowski type q-starlike functions

B Khan, ZG Liu, HM Srivastava, S Araci, N Khan… - Advances in Difference …, 2021 - Springer
In the present investigation, with the help of certain higher-order q-derivatives, some new
subclasses of multivalent q-starlike functions which are associated with the Janowski …

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 …

[PDF][PDF] A new -fractional integral operator and its applications to the coefficient problem involving the second Hankel determinant for q-starlike and q-convex functions

HM Srivastava, K Alshammari, M Darus - Nonlinear Var. Anal, 2023 - jnva.biemdas.com
In this article, we introduce and study a new q-fractional integral operator which essentially
stems from a successive application of the Srivastava-Owa operator of fractional integration …

Some applications of q-difference operator involving a family of meromorphic harmonic functions

N Khan, HM Srivastava, A Rafiq, M Arif… - Advances in Difference …, 2021 - Springer
In this paper, we establish certain new subclasses of meromorphic harmonic functions using
the principles of q-derivative operator. We obtain new criteria of sense preserving and …

Starlike Functions Based on Ruscheweyh q−Differential Operator defined in Janowski Domain

LI Cotîrlǎ, G Murugusundaramoorthy - Fractal and Fractional, 2023 - mdpi.com
In this paper, we make use of the concept of q− calculus in the theory of univalent functions,
to obtain the bounds for certain coefficient functional problems of Janowski type starlike …

Sandwich-Type Theorems for a Family of Non-Bazilevič Functions Involving a q-Analog Integral Operator

SH Hadi, M Darus, F Ghanim, A Alb Lupaş - Mathematics, 2023 - mdpi.com
This article presents a new q-analog integral operator, which generalizes the q-Srivastava–
Attiya operator. Using this q-analog operator, we define a family of analytic non-Bazilevič …

A Study of Spiral‐Like Harmonic Functions Associated with Quantum Calculus

SA Shah, LI Cotirla, A Catas, C Dubau… - Journal of Function …, 2022 - Wiley Online Library
This article introduces new subclasses of harmonic univalent functions associated with q‐
difference operator. Modified q‐multiplier transformation is defined, and certain geometric …

[PDF][PDF] Applications of certain basic (or q-) derivatives to subclasses of multivalent Janowski type q-starlike functions involving conic domains

HM Srivastava, B Khan, N Khan, A Hussain… - J. Nonlinear Var …, 2021 - researchgate.net
In this paper, with the help of certain higher-order q-derivatives, we first introduce some new
subclasses of the class of multivalent q-starlike functions which are associated with the …

Applications of Certain p-Valently Analytic Functions

GI Oros, G Oros, S Owa - Mathematics, 2022 - mdpi.com
In this paper, a new operator D sf, with sa real number, is defined considering functions that
belong to the known class of p-valent analytic functions in the open unit disk U. Applying this …