A subordination results for a class of analytic functions defined by q-differential operator-Reference-Cited by-同舟云学术

A subordination results for a class of analytic functions defined by q-differential operator

Published:2020-12-01 Issue:1 Volume:19 Page:53-64
ISSN:2300-133X
Container-title:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
language:en
Short-container-title:

Author:

Frasin Basem Aref¹,Murugusundaramoorthy Gangadharan²

Affiliation:

1. Department of Mathematics , Al al-Bayt University , P.O. Box: 130095 Mafraq , Jordan

2. Department of Mathematics , School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University) , Vellore - , India

Abstract

Abstract In this paper, we derive several subordination results and integral means result for certain class of analytic functions defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/aupcsm-2020-0005

Reference28 articles.

1. [1] Aouf, Mohamed Kamal et al. “ β-uniformly convex and starlike functions.” Proc. Pakistan Acad. Sci. 46, no. 2 (2009): 97-101. Cited on 59.

2. [2] Araci, Serkan et al. “A certain (p, q)-derivative operator and associated divided differences.” J. Inequal. Appl. 2019 (2019): Paper No. 301. Cited on 54.

3. [3] Aral, Ali, Vijay Gupta, and Ravi P. Agarwal. Applications of q-calculus in operator theory. New York: Springer, 2013. Cited on 54.10.1007/978-1-4614-6946-9

4. [4] Attiya, Adel A. “On some applications of a subordination theorem.” J. Math. Anal. Appl. 311, no. 2 (2005): 489-494. Cited on 57.

5. [5] Al-Oboudi, Fatima M. “On univalent functions defined by a generalized Sălăgean operator.” Int. J. Math. Math. Sci. no. 25-28 (2004): 1429-1436. Cited on 55.

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A New Subclass of Analytic Functions Associated with the q-Derivative Operator Related to the Pascal Distribution Series;Symmetry;2024-02-28

2. On classes of ζ -uniformly q -analogue of analytic functions with some subordination results;Applied Mathematics in Science and Engineering;2024-02-19

3. Sandwich-Type Theorems for a Family of Non-Bazilevič Functions Involving a q-Analog Integral Operator;Mathematics;2023-05-28

4. A Class of Janowski-Type (p,q)-Convex Harmonic Functions Involving a Generalized q-Mittag–Leffler Function;Axioms;2023-02-11

5. Some subclasses of p-valent $$\gamma $$-uniformly type q-starlike and q-convex functions defined by using a certain generalized q-Bernardi integral operator;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-12-28