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On a class of d-symmetric polynomial sets generated by F(xt — R(t))

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ABSTRACT Let be a polynomial set with generating power series of the form and satisfying, for , the -order recursion , where is an integer, is a complex sequence not… Click to show full abstract

ABSTRACT Let be a polynomial set with generating power series of the form and satisfying, for , the -order recursion , where is an integer, is a complex sequence not identically null, and for all negative integer n. We show that is the monomial of degree d+1 and give the expression of by means of the generalized hypergeometric series.

Keywords: polynomial sets; symmetric polynomial; class symmetric; sets generated

Journal Title: Integral Transforms and Special Functions
Year Published: 2018

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