Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (4)

Search Parameters:
Keywords = meromorphic multivalent q-starlike functions

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
19 pages, 1200 KB  
Article
A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric q-Difference Operator
by Vasile-Aurel Caus
Mathematics 2025, 13(11), 1797; https://doi.org/10.3390/math13111797 - 28 May 2025
Cited by 1 | Viewed by 1010
Abstract
This paper presents a novel symmetric q-analogue differential operator designed for meromorphic multivalent functions analytic in the punctured open unit disk. Employing this operator, a new family of meromorphic multivalent functions is proposed and examined in this work. A detailed investigation of [...] Read more.
This paper presents a novel symmetric q-analogue differential operator designed for meromorphic multivalent functions analytic in the punctured open unit disk. Employing this operator, a new family of meromorphic multivalent functions is proposed and examined in this work. A detailed investigation of this newly defined class of meromorphic multivalent functions is presented, highlighting key geometric characteristics, including sufficiency criteria, coefficient inequalities, distortion and growth behavior, as well as the radii of starlikeness and convexity. Full article
(This article belongs to the Section C4: Complex Analysis)
Show Figures

Figure 1

14 pages, 321 KB  
Article
The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain
by Isra Al-Shbeil, Jianhua Gong, Samrat Ray, Shahid Khan, Nazar Khan and Hala Alaqad
Fractal Fract. 2023, 7(6), 438; https://doi.org/10.3390/fractalfract7060438 - 29 May 2023
Cited by 5 | Viewed by 1982
Abstract
Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory. In this study, we conduct a comprehensive investigation to identify the uses of the Sălăgean q-differential [...] Read more.
Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory. In this study, we conduct a comprehensive investigation to identify the uses of the Sălăgean q-differential operator for meromorphic multivalent functions. Many features of functions that belong to geometrically defined classes have been extensively studied using differential operators based on q-calculus operator theory. In this research, we extended the idea of the q-analogous of the Sălăgean differential operator for meromorphic multivalent functions using the fundamental ideas of q-calculus. With the help of this operator, we extend the family of Janowski functions by adding two new subclasses of meromorphic q-starlike and meromorphic multivalent q-starlike functions. We discover significant findings for these new classes, including the radius of starlikeness, partial sums, distortion theorems, and coefficient estimates. Full article
(This article belongs to the Special Issue Fractional Calculus and Hypergeometric Functions in Complex Analysis)
12 pages, 769 KB  
Article
Coefficient Estimates for a Subclass of Meromorphic Multivalent q-Close-to-Convex Functions
by Lei Shi, Bakhtiar Ahmad, Nazar Khan, Muhammad Ghaffar Khan, Serkan Araci, Wali Khan Mashwani and Bilal Khan
Symmetry 2021, 13(10), 1840; https://doi.org/10.3390/sym13101840 - 1 Oct 2021
Cited by 37 | Viewed by 3172
Abstract
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 perspectives. In this article, we introduce a new class of meromorphic multivalent close-to-convex [...] Read more.
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 perspectives. In this article, we introduce a new class of meromorphic multivalent close-to-convex functions with the help of a q-differential operator. Furthermore, we investigate some useful properties such as sufficiency criteria, coefficient estimates, distortion theorem, growth theorem, radius of starlikeness, and radius of convexity for this new subclass. Full article
(This article belongs to the Special Issue Applications of Symmetric Functions Theory to Certain Fields)
11 pages, 262 KB  
Article
Properties of Certain Subclass of Meromorphic Multivalent Functions Associated with q-Difference Operator
by Cai-Mei Yan, Rekha Srivastava and Jin-Lin Liu
Symmetry 2021, 13(6), 1035; https://doi.org/10.3390/sym13061035 - 8 Jun 2021
Cited by 5 | Viewed by 2132
Abstract
A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means of a q-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient [...] Read more.
A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means of a q-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radius of starlikeness and convexity, partial sums and closure theorems, are investigated. Full article
(This article belongs to the Special Issue Integral Transformation, Operational Calculus and Their Applications)
Back to TopTop