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

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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. 

 

Keywords

d−Orthogonal polynomials , Relations of recurrence , Sheffer-Meixner‘s polynomials , Generating function , Classical polynomials , Operator of Hahn
  • Boukhemis Ammar Department of Mathematics, Faculty of Sciences, University of Annaba, B.P.12 Annaba 23000, Algeria.
  • Pages: 39 - 55
  • Date Published: 2005-08-01
  • Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal

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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.

Issue

Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal

Section

Articles