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arxiv: 1603.08504 · v2 · pith:XJ6WQ2OGnew · submitted 2016-03-28 · 🧮 math.CA

Tur\'an type inequalities for classical and generalized Mittag-Leffler functions

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keywords functionsmittag-lefflerclassicalgeneralizedinequalitiessomeconsideredtype
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In this paper some Tur\'an 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 Lazarevi\'c and Wilker-type inequalities for classical and generalized Mittag-Leffler functions. At the end some open problems are formulated.

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