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On zeros of regular orthogonal polynomials on the unit circle

P. García Lázaro, F. Marcellán (1993)

Annales Polonici Mathematici

A new approach to the study of zeros of orthogonal polynomials with respect to an Hermitian and regular linear functional is presented. Some results concerning zeros of kernels are given.

Orthoexponential polynomials and the Legendre polynomials

Otakar Jaroch (1978)

Aplikace matematiky

Orthoexponential polynomials can be expressed in terms of the Legendre polynomials. The formulae proved in this paper are useful for the computation of the values of orthoexponential polynomials. It is also possible to re-state, for orthoexponential polynomials, some theorems from the theory of classical orthogonal polynomials.

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