RT Journal Article
T1 On kernel polynomials and self perturbation of orthogonal polynomials
A1 Kwon, Kil H.
A1 Lee, D. W.
A1 Marcellán Español, Francisco José
A1 Park, S. B.
AB Given an orthogonal polynomial system $(Q_n(x))_{n=0} infty$, define another polynomial system by where αn are complex numbers and t is a positive integer. We find conditions for $(P_n(x))_{n=0} infty$ to be an orthogonal polynomial system. When t=1 and α1≠0, it turns out that $(Q_n(x))_{n=0} infty$ must be kernel polynomials for $(P_n(x))_{n=0} infty$ for which we study, in detail, the location of zeros and semi-classical character.
PB Springer
SN 0373-3114 (Print)
SN 1618-1891 (Online)
YR 2001
FD 2001-07
LK https://hdl.handle.net/10016/6087
UL https://hdl.handle.net/10016/6087
LA eng
NO 20 pages, no figures.-- MSC2000 code: 42C05.
NO MR#: MR1847402 (2002h:42049)
NO Zbl#: Zbl 1034.42022
NO The first author (KHK) was partially supported by the BK-21 project and KOSEF(98-0701-03-01-5). The second author (DWL) was partially supported by BK-21 project. The third author (FM) was partially supported by Dirección General de EnseñanzaSuperior (DGES) of Spain under grant PB96-0120-C03-01. The fourth author (SBP) was partially supported by the Hwarangdae Research Institute.
DS e-Archivo
RD 4 ago. 2024