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About semiclassical polynomials on the unit circle corresponding to the class (2,2)

✍ Scribed by A. Cachafeiro; C. Suárez

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
808 KB
Volume
85
Category
Article
ISSN
0377-0427

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✦ Synopsis

In the present paper we pose the problem of characterizing the orthogonal polynomials related to the unit circle whose moment functional ~ verify a functional relation of the following type D(q~S¢)+ ~Z,e=0, where q5 and ~b are polynomials with deg ~ = 2 and deg ~ = 1. Two different situations appear depending on whether the roots of q~ are unimodular or not. Here, we solve the last case. Moreover, we analyse the definite positive character of the solutions.

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