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On a criterion of rationality for a series in orthogonal polynomials. (Russian, English) Zbl 1240.30005

Ukr. Mat. Zh. 62, No. 8, 1139-1144 (2010); translation in Ukr. Math. J. 62, No. 8, 1326-1332 (2010).
Summary: 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 analogue of the well-known Kronecker criterion of rationality for functions given by power series.

MSC:

30B10 Power series (including lacunary series) in one complex variable
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