Abstract
From a contiguous relation obtained by Wilson for terminating 2-balanced very well-poised9 F 8 hypergeometric functions of unit argument, we derive a pair of three term recurrence relations for very well-poised7 F 6's. From these we obtain solutions to the recurrence relation for associated Wilson polynomials and spectral properties of the corresponding Jacobi matrix. A calculation of the basic weight function yields a generalization of Dougall's theorem.
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Communicated by Mourad Ismail.
In honor of F. W. J. Olver on the occasion of his sixty-fifth birthday
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Masson, D.R. Associated Wilson polynomials. Constr. Approx 7, 521–534 (1991). https://doi.org/10.1007/BF01888173
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DOI: https://doi.org/10.1007/BF01888173