Title of article
d-Orthogonality via generating functions
Author/Authors
Ben Cheikh، نويسنده , , Y. and Zaghouani، نويسنده , , A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
21
From page
2
To page
22
Abstract
In this paper, starting from a suitable generating function of a polynomial set, we show how to decide whether the considered polynomial set is d-orthogonal and, if it is so, how to determine the corresponding d-dimensional functional vector. Then, we apply the obtained results to some known and new d-orthogonal polynomial sets. For the known ones, we give new proofs for some already obtained results.
Keywords
Brenke polynomials , Hypergeometric polynomials , d -orthogonal polynomials , generating functions , Lowering operators , Transform operator , Linear functionals , integral representations , Sheffer polynomials
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2007
Journal title
Journal of Computational and Applied Mathematics
Record number
1553586
Link To Document