Tur\'an type inequalities for Tricomi confluent hypergeometric functions
Classical Analysis and ODEs
2013-05-06 v2 Probability
Abstract
Some sharp two-sided Tur\'an type inequalities for parabolic cylinder functions and Tricomi confluent hypergeometric functions are deduced. The proofs are based on integral representations for quotients of parabolic cylinder functions and Tricomi confluent hypergeometric functions, which arise in the study of the infinite divisibility of the Fisher-Snedecor F distribution. Moroever, some complete monotonicity results are given concerning Tur\'an determinants of Tricomi confluent hypergeometric functions. These complement and improve some of the results of Ismail and Laforgia [23].
Cite
@article{arxiv.1110.4699,
title = {Tur\'an type inequalities for Tricomi confluent hypergeometric functions},
author = {Árpád Baricz and Mourad E. H. Ismail},
journal= {arXiv preprint arXiv:1110.4699},
year = {2013}
}
Comments
20 pages