On the classical 2−orthogonal polynomials sequences of Sheffer-Meixner type

Authors

  • Boukhemis Ammar Department of Mathematics, Faculty of Sciences, University of Annaba, B.P.12 Annaba 23000, Algeria.

Keywords:

d−Orthogonal polynomials, Relations of recurrence, Sheffer-Meixner‘s polynomials, Generating function, Classical polynomials, Operator of Hahn

Abstract

The polynomial sequences of Sheffer-Meixner type designed by {Sn}n≥0, are defined by the generating function:

We are interested, in this work, in studying the sequences when they are 2-orthogonal. We will give the general properties of these sequences, and we study in details those which are classical. 

 

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Published

2005-08-01

How to Cite

[1]
B. Ammar, “On the classical 2−orthogonal polynomials sequences of Sheffer-Meixner type”, CUBO, vol. 7, no. 2, pp. 39–55, Aug. 2005.

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