On a criterion of rationality for a series in orthogonal polynomials

被引:0
作者
V. I. Buslaev
机构
[1] Institute of Mathematics,
[2] Russian Academy of Sciences,undefined
来源
Ukrainian Mathematical Journal | 2011年 / 62卷
关键词
Rational Function; Power Series; American Mathematical Society; Orthogonal Polynomial; Recurrence Relation;
D O I
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中图分类号
学科分类号
摘要
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.
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页码:1326 / 1332
页数:6
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[1]  
Buslaev VI(2009)On the analog of the Hadamard formula for the first ellipse of meromorphy Mat. Zametki 85 552-568