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On the classical {$d$}-orthogonal polynomials defined by certain generating functions. II

Year: 2001
Type: article
Abstract: This paper is a direct sequel to [5].The present part deals with the problem of finding all d-orthogonal polynomial sets generated by G(x, t) = e t Ψ(xt).The resulting polynomials reduce to Laguerre polynomials for d=1 and to two-orthogonal polynomials associated with MacDonald functions for d=2, recently considered by the authors [6] and by Van Assche and Yakubovich [36].Various properties for the obtained polynomials are singled out.
Language: English
Open Access status: bronze
OpenAlex ID: W1704242540
FWCI: 1.4
Cites: 32
Cited by: 51
Related to: 10