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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: 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.


References [Enhancements On Off] (What's this?)

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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

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