2017
Том 69
№ 9

All Issues

On a criterion of rationality for a series in orthogonal polynomials

Buslaev V. I.

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Abstract

We present a criterion of rationality for a function determined by its expansion in a series in orthogonal polynomials. This criterion can be regarded as an analog of the well-known Kronecker criterion of rationality for functions given by power series.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 8, pp 1326-1332.

Citation Example: Buslaev V. I. On a criterion of rationality for a series in orthogonal polynomials // Ukr. Mat. Zh. - 2010. - 62, № 8. - pp. 1139–1144.

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