Abstract
Let P k be any sequence of the classical orthogonal polynomials. We give explicitly a second-order recurrence relation (in k) for the coefficients in P iP j = ∑ k = ¦i−j¦ i + jc(i, j, k) P k . This result is obtained by a method which is alternative to the one proposed recently by A. Ronveaux et al. Applications of the result to some named systems of classical orthogonal polynomials are given.
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