On m-symmetric d-orthogonal polynomials
BLEL, Mongi . 2012
In this Note, we prove that all the components of a d-symmetric classical d-orthogonal
are classical and in the case where the sequence is m-symmetric and d-orthogonal, we
prove that the first component of an m-symmetric classical d-orthogonal is classical. That
generalized the Douak and Maroni (1992) [8] results for the case m = d. Then we discuss,
as far as we know, a new symmetric classical 3-PS.
Lamiri and M.Ouni state some characterization theorems for d-orthogonal polynomials
of Hermite, Gould-Hopper and Charlier type polynomials. In [3] Y.Ben Cheikh I. Lamiri and M.Ouni
…
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