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arXiv · 1603.08504

Turán type inequalities for classical and generalized Mittag-Leffler functions

Sergei M. Sitnik·Khaled Mehrez
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Abstract

In this paper some Turán type inequalities for classical and generalized Mittag-Leffler functions are considered. The method is based on proving monotonicity for special ratio of sections for series of Mittag-Leffler functions. Some applications are considered to Lazarević and Wilker-type inequalities for classical and generalized Mittag-Leffler functions. At the end some open problems are formulated.

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BibTeXRIS

Sergei M. Sitnik, Khaled Mehrez. 2016-08-11. Turán type inequalities for classical and generalized Mittag-Leffler functions. https://doi.org/10.1007/s10476-018-0404-9

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