On Some Properties of Three Parameters Mittag-Leffler Functions

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Journal of Engineering Technology and Applied Sciences
Volume:6 Issue:3
On Some Properties of Three Parameters Mittag-Leffler Functions

On Some Properties of Three Parameters Mittag-Leffler Functions

Authors : İbrahim AKTAŞ, Ayşe TOPBAŞ

Pages : 161-169

Doi:10.30931/jetas.1031634

View : 13 | Download : 9

Publication Date : 2021-12-31

Article Type : Research Paper

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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