Turán type inequalities for confluent hypergeometric functions of the second kind

Authors

Árpád Baricz, Obuda University
Saminathan Ponnusamy, Indian Statistical Institute Chennai
Sanjeev Singh, Indian Institute of Technology Madras

Article Type

Research Article

Publication Title

Studia Scientiarum Mathematicarum Hungarica

Abstract

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

First Page

74

Last Page

92

DOI

10.1556/012.2016.53.1.1330

Publication Date

3-1-2016

Comments

Open Access; Green Open Access

Recommended Citation

Baricz, Árpád; Ponnusamy, Saminathan; and Singh, Sanjeev, "Turán type inequalities for confluent hypergeometric functions of the second kind" (2016). Journal Articles. 4502.
https://digitalcommons.isical.ac.in/journal-articles/4502