Additional Recursion Relations, Factorizations, and Diophantine Properties Associated with the Polynomials of the Askey Scheme

In this paper, we apply to (almost) all the “named” polynomials of the Askey scheme, as defined by their standard three-term recursion relations, the machinery developed in previous papers. For each of these polynomials we identify at least one additional recursion relation involving a shift in some...

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Bibliographic Details
Main Authors: M. Bruschi, F. Calogero, R. Droghei
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2009/268134
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