RT Journal Article
T1 Sobolev orthogonal polynomials in the complex plane
A1 López Lagomasino, Guillermo
A1 Pijeira Cabrera, Héctor Esteban
A1 Pérez Izquierdo, Ignacio
AB Sobolev orthogonal polynomials with respect to measures supported on compact subsets of the complex plane are considered. For a wide class of such Sobolev orthogonal polynomials, it is proved that their zeros are contained in a compact subset of the complex plane and their asymptotic-zero distribution is studied. We also find the nth-root asymptotic behavior of the corresponding sequence of Sobolev orthogonal polynomials.
PB Elsevier
SN 0377-0427
YR 2001
FD 2001-01-15
LK https://hdl.handle.net/10016/6332
UL https://hdl.handle.net/10016/6332
LA eng
NO 12 pages, no figures.-- MSC2000 codes: 42C05, 33C45.
NO MR#: MR1808575 (2001j:30006)
NO Zbl#: Zbl 0973.42015
NO The research of the first author (G.L.L.) was partially supported by Dirección General de Enseñanza Superior under grant PB 96-0120-C03-01 and by INTAS under grant 93-0219 EXT.
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RD 24 may. 2024