Univalence of Integral Operators Involving Mittag-Leffler Functions

Authors

H. M. Srivastava, Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada\\ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China.Follow
B. A. Frasin, Department of Mathematics, Faculty of Science, Islamic University of Madinah, Al Madinah Al Munawwarah, Medinah 42351, Kingdom of Saudi Arabia.\\ Department of Mathematics, Faculty of Science, Al al-Bayt University, P. O. Box 130095, Mafraq, Jordan.Follow
Virgil Pescar, Department of Mathematics and Computer Science, Faculty of Mathematics and Informatics, Transilvania University of Bras¸ov, Iuliu Maniu 50, R-500091 Bras¸ov, Romania.Follow

Author Country (or Countries)

Republic of China.

Abstract

In this paper, we first introduce a new family of integral operators involving Mittag-Leffler functions. We then find sufficient conditions for univalence of these integral operators and present the generalized versions of the well-known Ahlfors’ and Becker’s univalence criteria. Finally, we derive several inequalities for the normalized Mittag-Leffler functions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110301

Recommended Citation

M. Srivastava, H.; A. Frasin, B.; and Pescar, Virgil (2017) "Univalence of Integral Operators Involving Mittag-Leffler Functions," Applied Mathematics & Information Sciences: Vol. 11: Iss. 3, Article 1.
DOI: http://dx.doi.org/10.18576/amis/110301
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss3/1