On a Szegö's theorem of orthogonal polynomials.

Sánchez Dehesa, Jesús. "On a Szegö's theorem of orthogonal polynomials.." Revista Matemática Hispanoamericana 39.6 (1979): 277-282. <http://eudml.org/doc/39771>.

@article{SánchezDehesa1979,
abstract = {It is found that the asymptotical density of zeros of a system of orthogonal polynomials whose weight function belongs to a wide class of distribution functions has the expression ρ(x) = π-1 (1 - x2)-1/2. This result is shown in two completely different ways: (1) from a Szegö theorem and (2) from a Geronimus theorem and a finding recently obtained by the author in a context of Jacobi matrices.},
author = {Sánchez Dehesa, Jesús},
journal = {Revista Matemática Hispanoamericana},
keywords = {Polinomios ortogonales; asymptotic density of zeros; orthogonal polynomials},
language = {eng},
number = {6},
pages = {277-282},
title = {On a Szegö's theorem of orthogonal polynomials.},
url = {http://eudml.org/doc/39771},
volume = {39},
year = {1979},
}

TY - JOUR
AU - Sánchez Dehesa, Jesús
TI - On a Szegö's theorem of orthogonal polynomials.
JO - Revista Matemática Hispanoamericana
PY - 1979
VL - 39
IS - 6
SP - 277
EP - 282
AB - It is found that the asymptotical density of zeros of a system of orthogonal polynomials whose weight function belongs to a wide class of distribution functions has the expression ρ(x) = π-1 (1 - x2)-1/2. This result is shown in two completely different ways: (1) from a Szegö theorem and (2) from a Geronimus theorem and a finding recently obtained by the author in a context of Jacobi matrices.
LA - eng
KW - Polinomios ortogonales; asymptotic density of zeros; orthogonal polynomials
UR - http://eudml.org/doc/39771
ER -