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Original Articles

The modification of classical hahn polynomials of a discrete variable

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Pages 243-262 | Received 20 Dec 1994, Published online: 03 Apr 2007
 

Abstract

We consider a modification of moment functionals for the Hahn classical polynomials of a discrete variable by adding two mass points at the ends of the interval, i.e., in x = 0 and x = N-1. We obtain the resulting orthogonal polynomials and identify them as hypergeometric functions. The corresponding three term recurrence relation and tridiagonal matrices are also studied.

MSC(1991):

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