Turan type inequalities for confluent hypergeometric functions of the second kind

Baricz, Árpád and Ponnusamy, Saminathan and Singh, Sanjeev (2016) Turan type inequalities for confluent hypergeometric functions of the second kind. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 53 (1). pp. 74-92. ISSN 0081-6906

Preview

Text Turan type inequalities for Tricomi hypergeometric functions.pdf Download (148kB) | Preview

Abstract

In this paper we deduce some tight Turan 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 Turan type inequalities. Moreover, by using these Turan type inequalities, we deduce some new inequalities for Tricomi confluent hypergeometric functions of the second kind. The key tool in the proof of the Turan 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.

Actions (login required)

Edit Item