Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions-Reference-Cited by-同舟云学术

Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions

Published:2021-07-27 Issue: Volume:2021 Page:1-9
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Khan Muhammad Ghaffar¹^ORCID,Ahmad Bakhtiar²^ORCID,Khan Nazar³,Mashwani Wali Khan¹^ORCID,Arjika Sama⁴⁵^ORCID,Khan Bilal⁶,Chinram Ronnason⁷^ORCID

Affiliation:

1. Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, Pakistan

2. Govt: Degree College Mardan, 23200 Mardan, Pakistan

3. Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan

4. Department of Mathematics and Informatics, University of Agadez, Agadez, Niger

5. International Chair of Mathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi, Post Box 072, Cotonou 50, Benin

6. School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China

7. Algebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand

Abstract

In this article, we introduce a new subclass of analytic functions utilizing the idea of Mittag-Leffler type Poisson distribution associated with the Janowski functions. Further, we discuss some important geometric properties like necessary and sufficient condition, convex combination, growth and distortion bounds, Fekete-Szegö inequality, and partial sums for this newly defined class.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/4343163.pdf

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