Inequalities for certain hypergeometric functions
Authors:
C. M. Joshi and J. P. Arya
Journal:
Math. Comp. 38 (1982), 201205
MSC:
Primary 33A30
MathSciNet review:
637297
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Abstract 
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Abstract: Theorems on twosided 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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 J. L. Brenner, ``Bounds for classical polynomials derivable by matrix methods,'' Proc. Amer. Math. Soc., v. 30, 1971, pp. 353362. MR 0280756 (43:6475)
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 R. G. Buschman, ``Inequalities for hypergeometric functions,'' Math. Comp., v. 30, 1976, pp. 303305. MR 0390306 (52:11132)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718198206372976
PII:
S 00255718(1982)06372976
Keywords:
Gauss' hypergeometric function,
Kummer's hypergeometric function,
dominant diagonal matrix,
complex parameters and arguments,
inequalities
Article copyright:
© Copyright 1982
American Mathematical Society
