Turán type inequalities for classical and generalized Mittag-Leffler functions

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.

arXiv comment15 pages

References in corpus (2)

• Log-convexity and log-concavity of hypergeometric-like functions
• Inequalities and monotonicity of ratios for generalized hypergeometric function