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Symmetric semi-classical forms of class s≤2 generalizing Hermite
Journal article   Peer reviewed

Symmetric semi-classical forms of class s≤2 generalizing Hermite

B. Bouras and J. Alaya
Integral transforms and special functions, Vol.17(6), pp.391-408
01/06/2006
DOI: https://doi.org/10.1080/10652460500441528

Abstract

Integral representations Orthogonal polynomials Semi-classical polynomials
We give, explicitly the recurrence coefficients, integral representations and the structure relation coefficients of two semi-classical sequences of polynomials: the first is symmetric of class s≤2 generalizing the generalized Hermite sequence, and the second is nonsymmetric of class equal or less than one.

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