Inequalities for certain hypergeometric functions

Author:

Joshi C. M.,Arya J. P.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference10 articles.

1. A bound for a determinant with dominant main diagonal;Brenner, J. L.;Proc. Amer. Math. Soc.,1954

2. Bounds for classical polynomials derivable by matrix methods;Brenner, J. L.;Proc. Amer. Math. Soc.,1971

3. Inequalities for hypergeometric functions;Buschman, R. G.;Math. Comp.,1976

4. Some inequalities for hypergeometric functions;Carlson, B. C.;Proc. Amer. Math. Soc.,1966

5. Inequalities for hypergeometric functions;Erber, Thomas;Arch. Rational Mech. Anal.,1960

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