AIMS Mathematics, 2020, 5(1): 408-420. doi: 10.3934/math.2020028.

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Partial sums of generalized q-Mittag-Leffler functions

1 Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan
2 Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada
3 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China
4 Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan
5 School of Mathematical Sciences, East China Normal University, 500 Dongchuan Road, Shanghai 200241, People’s Republic of China

In the present investigation, our main aim is to give lower bounds for the ratio of some normalized q-Mittag-Leffler function and their sequences of partial sums. We consider various corollaries and consequences of our main results.
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Keywords univalent functions; analytic functions; partial sums; q-derivative (or q-difference) operator; normalized q-Mittag-Leffler function

Citation: Muhammad Sabil Ur Rehman, Qazi Zahoor Ahmad, Hari M. Srivastava, Bilal Khan, Nazar Khan. Partial sums of generalized q-Mittag-Leffler functions. AIMS Mathematics, 2020, 5(1): 408-420. doi: 10.3934/math.2020028


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This article has been cited by

  • 1. H. M. Srivastava, Operators of Basic (or q-) Calculus and Fractional q-Calculus and Their Applications in Geometric Function Theory of Complex Analysis, Iranian Journal of Science and Technology, Transactions A: Science, 2020, 10.1007/s40995-019-00815-0

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