Abstract
In this article, we solve the duplication problem, where belongs to a wide class of polynomials, including the classical orthogonal polynomials (Hermite, Laguerre, Jacobi) as well as the classical discrete orthogonal polynomials (Charlier, Meixner, Krawtchouk) for the specific case a=-1. We give closed-form expressions as well as recurrence relations satisfied by the duplication coefficients.
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