On Some Properties of Three Parameters Mittag-Leffler Functions

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

References

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