Generalized linearization problems (original) (raw)

Journal of Physics A: Mathematical and General, 1995

Abstract

We prove that if Pi(x) and Pj(x) are two families of semi-classical orthogonal polynomials, all the linearization coefficients Li,j,k occurring in the product of these two families satisfy a linear recurrence relation involving only the k index. This property also extends to the linearization coefficients arising from an arbitrary number of products of semi-classical orthogonal polynomials.

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