Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2018; 33(4): 1285-1301

Online first article June 29, 2018      Printed October 31, 2018

https://doi.org/10.4134/CKMS.c170461

Copyright © The Korean Mathematical Society.

Tur\'an-type inequalities for Gauss and confluent hypergeometric functions via Cauchy-Bunyakovsky-Schwarz inequality

Piyush Kumar Bhandari, Sushil Kumar Bissu

Government College Ajmer, Government College Ajmer

Abstract

Go to

This paper is devoted to the study of Tur\'an-type inequalities for some well-known special functions such as Gauss hypergeometric functions, generalized complete elliptic integrals and confluent hypergeometric functions which are derived by using a new form of the Cauchy-Bunyakovsky-Schwarz inequality. We also apply these inequalities for some sample of interest such as incomplete beta function, incomplete gamma function, elliptic integrals and modified Bessel functions to obtain their corresponding Tur\'an-type inequalities.

Keywords: Cauchy-Bunyakovsky-Schwarz inequality, Tur\'an-type inequalities, Gauss hypergeometric functions, generalized complete elliptic integrals, confluent hypergeometric functions

MSC numbers: Primary 26D07; Secondary 33C15

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS