On Janowski Analytic p,q-Starlike Functions in Symmetric Circular Domain-Reference-Cited by-同舟云学术

On Janowski Analytic p,q-Starlike Functions in Symmetric Circular Domain

Published:2020-10-10 Issue: Volume:2020 Page:1-6
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Khan Muhammad Ghaffar¹,Ahmad Bakhtiar¹,Frasin Basem Aref²,Abdeljawad Thabet³⁴⁵^ORCID

Affiliation:

1. Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan

2. Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan

3. Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

5. Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan

Abstract

The main object of the present paper is to apply the concepts of p,q-derivative by establishing a new subclass of analytic functions connected with symmetric circular domain. Further, we investigate necessary and sufficient conditions for functions belonging to this class. Convex combination, weighted mean, arithmetic mean, growth theorem, and convolution property are also determined.

Funder

Prince Sultan University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/4257907.pdf

Reference21 articles.

1. XI.—On q-Functions and a certain Difference Operator

2. A generalization of starlike functions

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