SZEGO POLYNOMIALS FROM HYPERGEOMETRIC FUNCTIONS

Artigo

Fecha

2010-12-01

Registro en:

Proceedings of The American Mathematical Society. Providence: Amer Mathematical Soc, v. 138, n. 12, p. 4259-4270, 2010.

0002-9939

http://hdl.handle.net/11449/21803

10.1090/S0002-9939-2010-10592-0

WOS:000284787700011

WOS000284787700011.pdf

3587123309745610

http://repositorioslatinoamericanos.uchile.cl/handle/2250/3895528

Autor

Universidade Estadual Paulista (Unesp)

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

Szego polynomials with respect to the weight function w(theta) = e(eta theta)[sin(theta/2)](2 lambda), where eta, lambda is an element of R and lambda > -1/2 are considered. Many of the basic relations associated with these polynomials are given explicitly. Two sequences of para-orthogonal polynomials with explicit relations are also given.

Materias

Hypergeometric function

Continued fractions

Szegö polynomials

Mostrar el registro completo del ítem