Buslaev, V. I. 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 Keywords:series expansion; orthogonal polynomials; Kronecker criterion of rationality PDFBibTeX XMLCite \textit{V. I. Buslaev}, Ukr. Mat. Zh. 62, No. 8, 1139--1144 (2010; Zbl 1240.30005); translation in Ukr. Math. J. 62, No. 8, 1326--1332 (2010) Full Text: DOI