COMPLETE MONOTONICITY OF A DIFFERENCE BETWEEN THE EXPONENTIAL AND TRIGAMMA FUNCTIONS

DOI10.7468/jksmeb.2014.21.2.141zbMath1305.33002arXiv1303.1582OpenAlexW2088638477MaRDI QIDQ2878116

Feng Qi, Xiao-Jing Zhang

Publication date: 28 August 2014

Published in: The Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1582

zbMATH Keywords

exponential functionmodified Bessel function of the first kindintegral representationinequalitycompletely monotonic function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Exponential and trigonometric functions (33B10)

Related Items (5)

A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS ⋮ A double inequality for the trigamma function and its applications ⋮ Some inequalities for the trigamma function in terms of the digamma function ⋮ Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions

This page was built for publication: COMPLETE MONOTONICITY OF A DIFFERENCE BETWEEN THE EXPONENTIAL AND TRIGAMMA FUNCTIONS