The modification of classical Hahn polynomials of a discrete variable. (English) Zbl 0849.33007
The authors study the generalized monic Hahn polynomials \(\widehat {h}_n^{A, B, \alpha, \beta} (x)\) which are orthogonal with respect to a modification of the weight function of the classical Hahn polynomials \(\widehat {h}_n^{(\alpha, \beta)} (x, N)\) via the addition of two mass points at the ends of the interval. Besides obtaining the representation of the generalized monic Hahn polynomials in terms of \({}_5 F_4\) hypergeometric series the authors also study here the three term recurrence relation and the corresponding tridiagonal matrices.
Reviewer: J.P.Singhal (Baroda)
MSC:
| 33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
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