RT Journal Article
T1 Zero location and n-th root asymptotics of Sobolev orthogonal polynomials
A1 López Lagomasino, Guillermo
A1 Pijeira Cabrera, Héctor Esteban
AB For a wide class of Sobolev orthogonal polynomials, it is proved that their zeros are contained in a compact subset of the complex plane and the asymptotic zero distribution is obtained. With this information, the nth root asymptotic behavior outside the compact set containing all the zeros is given.
PB Elsevier
SN 0021-9045
YR 1999
FD 1999-07
LK https://hdl.handle.net/10016/6363
UL https://hdl.handle.net/10016/6363
LA eng
NO 14 pages, no figures.-- MSC2000 codes: 42C05, 33C45.
NO MR#: MR1696589 (2000g:42035)
NO Zbl#: Zbl 0949.42020
NO Research by 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. Research by the second author (H.P.) carried out while following a Doctoral Program at Universidad Carlos III de Madrid under grant from Agencia Española de Cooperación Internacional.
DS e-Archivo
RD 27 jul. 2024