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Generalized linearization problems

Published in Journal of Physics A Mathematical and General • Aug 7, 1995
NobleIDNI5P78W83R42S90
Authors:
A. Ronveaux
,
Mahouton Norbert Hounkonnou
,
S. Belmehdi

Abstract

We prove that if P-i(x) and ($) over bar P-j(x) are two families of semi-classical orthogonal polynomials, all the linearization coefficients L(i,j,k) occuring in the product of these two families satisfy a linear recurrence relation involving only the k index. This property also extends to the line...

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