Pascu-Type Analytic Functions by Using Mittag-Leffler Functions in Janowski Domain

Author:

Mashwan Wali Khan1ORCID,Ahmad Bakhtiar2ORCID,Khan Muhammad Ghaffar1ORCID,Mustafa Saima3,Arjika Sama45ORCID,Khan Bilal6

Affiliation:

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

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

3. Department of Mathematics and Statistics, PMAS Arid Agriculture University, Rawalpindi, 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

Abstract

Keeping in view the various important applications of Mittag-Leffer functions in the fields of applied sciences, we introduce Pascu-type analytic functions utilizing the concept of Mittag-Leffler functions in the region of Janowski domain. Moreover, we investigate some useful properties of these functions such as sufficiency criteria, distortion and growth bounds, convex combination, radius of starlikeness, and some partial sum results.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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