Expansions in products of Heine-Stieltjes polynomials

Authors
Citation
H. Volkmer, Expansions in products of Heine-Stieltjes polynomials, CONSTR APPR, 15(4), 1999, pp. 467-480
Citations number
21
Categorie Soggetti
Mathematics
Journal title
CONSTRUCTIVE APPROXIMATION
ISSN journal
01764276 → ACNP
Volume
15
Issue
4
Year of publication
1999
Pages
467 - 480
Database
ISI
SICI code
0176-4276(1999)15:4<467:EIPOHP>2.0.ZU;2-4
Abstract
It is shown that products of polynomials introduced by Heine and Stieltjes form orthogonal bases in suitable function spaces. A theorem on the expansi on of analytic function in these bases is proved.