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arXiv · 1712.01344

On a new (p,q)-Mtahieu type power series and its applications

Khaled Mehrez·Zivorad Tomovski
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Abstract

Our aim in this paper, is to establish certain new integrals for the the (p,q)-Mathieu--power series. In particular, we investigate the Mellin-Barnes type integral representations for a particular case of thus special function. Moreover, we introduce the notion of the (p,q)-Mittag-Leffler functions and we present a relationships between thus two functions. Some other applications are proved, in particular two Turán type inequalities for the (p,q)-Mathieu series are proved.

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Khaled Mehrez, Zivorad Tomovski. 2017-11-17. On a new (p,q)-Mtahieu type power series and its applications. https://arxiv.org/abs/1712.01344

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