# On a Szegö's theorem of orthogonal polynomials.

Revista Matemática Hispanoamericana (1979)

- Volume: 39, Issue: 6, page 277-282
- ISSN: 0373-0999

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topSánchez 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 -

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