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Title

Products of Hypergeometric Functions and the Zeros of 4F3 Polynomials
Authors

K. A. Driver
Organization: University of the Witwatersrand, Johannesburg, South Africa
A. D. Love
Organization: University of the Witwatersrand, Johannesburg, South Africa
Journal / Anthology

Numerical Algorithms
Year: 2001
Volume: 26
Page range: 1-9
Description

We recall a known result (cf. [1]) expressing certain 4F3 hypergeometric functions as products of 2F1 hypergeometric functions. We consider the polynomial case and show how recent results (cf. [2]) concerning the zero distribution of Gauss hypergeometric polynomials can be used to obtain information about the location of the zeros of three types of 4F3 hypergeometric polynomials. Numerical and graphical evidence of the zeros is provided with the help of Mathematica.
Subject

*Mathematics > Calculus and Analysis > Special Functions