On Some Properties of Three Parameters Mittag-Leffler Functions

Year 2021, Volume: 6 Issue: 3, 161 - 169, 31.12.2021

İbrahim Aktaş , Ayşe Topbaş

https://doi.org/10.30931/jetas.1031634

https://izlik.org/JA23WZ85RX

Abstract

In this paper, our main aim is to discuss some monotonic and logarithmic concavity properties of three-parameter Mittag-Leffler function by using its Weierstrassian product representation and some earlier results on power series. In addition, by using the relationships between Mittag-Leffler type functions and some basic functions, we give some specific examples related to the monotonic and logarithmic concavity properties of some trigonometric and hyperbolic functions.

Keywords

Mittag-Leffler function , real zeros of Mittag-Leffler function , monotonicity , logarithmic concavity

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