Expansions in Products of Heine—Stieltjes Polynomials

Springer Science and Business Media LLC - Tập 15 - Trang 467-480 - 1999
H. Volkmer1
1Department of Mathematical Sciences, University of Wisconsin, Milwaukee, USA

Tóm tắt

It is shown that products of polynomials introduced by Heine and Stieltjes form orthogonal bases in suitable function spaces. A theorem on the expansion of analytic function in these bases is proved.