most citedWhen do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?

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math.CA2007★ 2 cited

When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?

M. Alfaro, F. Marcellan, A. Pena +1

Given a sequence of monic orthogonal polynomials, we analyze their linear combinations with constant coefficients and fixed length . Necessary and suffici…