CHARACTERIZATION OF CLASSICAL TYPE ORTHOGONAL POLYNOMIALS

Authors
KWON KH LITTLEJOHN LL LEE JK YOO BH
Citation
Kh. Kwon et al., CHARACTERIZATION OF CLASSICAL TYPE ORTHOGONAL POLYNOMIALS, Proceedings of the American Mathematical Society, 120(2), 1994, pp. 485-493
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
2
Year of publication
1994
Pages
485 - 493
Database
ISI
SICI code
0002-9939(1994)120:2<485:COCTOP>2.0.ZU;2-2
Abstract
We characterize the classical type orthogonal polynomials {P(n)(x)}0in finity satisfying a fourth-order differential equation of type [GRAPHI CS] where l(i)(x) are polynomials of degree less-than-or-equal-to i an d lambda(n) is a constant. They are only the orthogonal polynomials sa tisfying an orthogonality of the form [tau2, P(m)''P(n)'') + [tau1, P( m)'P(n)'] + [tau0, P(m)P(n)] = 0 for m not-equal n where tau0, tau1, a nd tau2 are moment functionals.