Inequalities for certain hypergeometric functions

Authors:
C. M. Joshi and J. P. Arya

Journal:
Math. Comp. **38** (1982), 201-205

MSC:
Primary 33A30

MathSciNet review:
637297

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Abstract | References | Similar Articles | Additional Information

Abstract: Theorems on two-sided inequalities for Gauss and Kummer's hypergeometric functions as given by Buschman have been improved. Complex analogues of the said inequalities have been developed and it is pointed out that a similar analysis gives extensions of Luke's, Flett's, and Carlson's theorems.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1982-0637297-6

Keywords:
Gauss' hypergeometric function,
Kummer's hypergeometric function,
dominant diagonal matrix,
complex parameters and arguments,
inequalities

Article copyright:
© Copyright 1982
American Mathematical Society