TURAN TYPE INEQUALITIES FOR CONFLUENT HYPERGEOMETRIC FUNCTIONS OF THE SECOND KIND

被引：3

作者：

Baricz, Arpad ^{[1
,2
]}

Ponnusamy, Saminathan ^{[3
]}

Singh, Sanjeev ^{[4
]}

机构：

[1] Obuda Univ, Inst Appl Math, H-1034 Budapest, Hungary

[2] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania

[3] Indian Stat Inst, Chennai Ctr, Soc Elect Transact & Secur, MGR Knowledge City, CIT Campus, Madras 600113, Tamil Nadu, India

[4] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2016年 / 53卷 / 01期

关键词：

Confluent hypergeometric functions of the second kind; Turan type inequalities; MODIFIED BESSEL-FUNCTIONS; LOG-CONCAVITY; CONVEXITY; RATIOS;

D O I：

10.1556/012.2016.53.1.1330

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we deduce some tight Turin 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 Thrall type inequalities. Moreover, by using these Turin 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.

引用

页码：74 / 92

页数：19

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