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Products of Hypergeometric Functions and the Zeros of 4F3 Polynomials
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| Organization: | University of the Witwatersrand, Johannesburg, South Africa |
| Organization: | University of the Witwatersrand, Johannesburg, South Africa |
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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.
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