Turán type inequalities for confluent hypergeometric functions of the second kind

DOI10.1556/012.2016.53.1.1330zbMATH Open1374.33010arXiv1409.1075OpenAlexW3098267424MaRDI QIDQ2973154

Sanjeev Singh, Árpád Baricz, Saminathan Ponnusamy

Publication date: 31 March 2017

Published in: Studia Scientiarum Mathematicarum Hungarica (Search for Journal in Brave)

Abstract: In this paper we deduce some tight Tur'an type inequalities for Tricomi confluent hypergeometric functions of the second kind, which in some cases improve the existing results in the literature. We also give alternative proofs for some already established Tur'an type inequalities. Moreover, by using these Tur'an type inequalities, we deduce some new inequalities for Tricomi confluent hypergeometric functions of the second kind. The key tool in the proof of the Tur'an type inequalities is an integral representation for a quotient of Tricomi confluent hypergeometric functions, which arises in the study of the infinite divisibility of the Fisher-Snedecor $F$ distribution.

Full work available at URL: https://arxiv.org/abs/1409.1075

zbMATH Keywords

Turán-type inequalitiesconfluent hypergeometric functions of the second kind

Mathematics Subject Classification ID

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Related Items (3)

Turán type inequalities for the \((p,k)\)-generalization of the Mittag-Leffler function ⋮ Some inequalities of the Turan type for confluent hypergeometric functions of the second kind ⋮ Convolution of beta prime distribution

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