Title of article
Some discrete d-orthogonal polynomial sets
Author/Authors
Ben Cheikh، نويسنده , , Yousséf and Zaghouani، نويسنده , , Ali، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
11
From page
253
To page
263
Abstract
In this paper, we characterize all polynomial sets which are at the same time d-orthogonal and Δω-Appell. The resulting polynomials reduce to Charlier polynomials for (d,ω)=(1,1). Various properties of the obtained polynomials are singled out: generating function, recurrence relation of order d+1 and a difference equation of order d+1. We also explicitly express the d-dimensional functional for which the d-orthogonality holds.
Keywords
d-Orthogonal polynomials , d-dimensional functionals , orthogonal polynomials , Multiple orthogonal polynomials , Difference operators
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2003
Journal title
Journal of Computational and Applied Mathematics
Record number
1552203
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