Associated Continuous Hahn Polynomials

Gupta, Dharma P. ; Ismail, Mourad E. H. ; Masson, David R.

Canadian journal of mathematics, Tome 43 (1991) no. 6, pp. 1263-1280

Résumé

Explicit solutions to the recurrence relation for associated continuous Hahn polynomials are derived using 3 F 2 contiguous relations. These solutions are used to obtain a new continued fraction and the associated absolutely continuous measure. An exceptional case is shown to yield entry 33 in Chapter 12 of Ramanujan's second notebook.

Détail

DOI : 10.4153/CJM-1991-072-3

Mots-clés : 33A65, Continued fractions, contiguous relations, hypergeometric functions, orthogonal polynomials, real and complex weight functions

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