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Expansions in Products of Heine—Stieltjes Polynomials

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Constructive Approximation Aims and scope

Abstract.

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.

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June 5, 1997. Date revised: November 18, 1997. Date accepted: January 14, 1998.

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Volkmer, H. Expansions in Products of Heine—Stieltjes Polynomials. Constr. Approx. 15, 467–480 (1999). https://doi.org/10.1007/s003659900117

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  • DOI: https://doi.org/10.1007/s003659900117

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