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On zeros of polynomials orthogonal with respect to a quasi-definite inner product on the unit circle

Research paper by J. M. Montaner, M. Alfaro

Indexed on: 01 May '95Published on: 01 May '95Published in: Rendiconti del Circolo Matematico di Palermo (1952 -)



Abstract

In this paper we present some results concerning the zeros of sequences of polynomials orthogonal with respect to a quasi-definite inner product on the unit circle. We study zero general properties, the existence of sequences with prefixed zeros and some situations concerning the polynomials with multiple zeros.