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# A first study of Zeros of Classical Orthogonal Polynomial

A first study of Zeros of Classical Orthogonal Polynomial

Date: 2018..03..08
Event: Seminario de Matemática Aplicada del CITE III
In this short work we consider some basic results connected with the zeros of classical orthogonal polynomials (COP). Given a orthogonal polynomial sequence (OPS), namely $$(p_n)_{n\ge 0}$$, we set a positive integer $$N$$ and we obtain for such value a new set of orthogonality properties for such for $$(p_n)_{n\ge 0}$$, we obtain closed expressions for $$p_n(x)$$ for $$n\le N$$ and the Hankel matrix for such polynomials in terms of the zeros of $$p_N(x)$$.