On partial sums of normalized Mittag-Leffler functions

preprint2016arXivOpen access

Abstract

This article deals with the ratio of normalized Mittag-Leffler function Eα,β(z)\mathbb{E}_{α,β}(z) and its sequence of partial sums (Eα,β)m(z)(\mathbb{E}_{α,β})_m(z). Several examples which illustrate the validity of our results are also given.

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