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Mathematics of Computation

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Inequalities for hypergeometric functions

Author: R. G. Buschman
Journal: Math. Comp. 30 (1976), 303-305
MSC: Primary 33A30
MathSciNet review: 0390306
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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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Keywords: Gauss’ hypergeometric function, Kummer’s hypergeometric function, confluence principle, dominant diagonal matrix, modified Bessel function
Article copyright: © Copyright 1976 American Mathematical Society