Inequalities for hypergeometric functions

Author:
R. G. Buschman

Journal:
Math. Comp. **30** (1976), 303-305

MSC:
Primary 33A30

DOI:
https://doi.org/10.1090/S0025-5718-1976-0390306-1

MathSciNet review:
0390306

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Abstract | References | Similar Articles | Additional Information

Abstract: The upper and lower bounds for the determinant of a dominant diagonal matrix have been used recently to obtain bounds on the classical orthogonal polynomials. Similar methods are used here on the hypergeometric functions of Gauss and of Kummer.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1976-0390306-1

Keywords:
Gauss' hypergeometric function,
Kummer's hypergeometric function,
confluence principle,
dominant diagonal matrix,
modified Bessel function

Article copyright:
© Copyright 1976
American Mathematical Society