On linear independence of the values of generalized Heine series

被引：15

作者：

Väänänen, K ^{[1
]}

机构：

[1] Univ Oulu, Dept Math Sci, Oulu 90014, Finland

来源：

MATHEMATISCHE ANNALEN | 2003年 / 325卷 / 01期

关键词：

Functional Equation; Bessel Function; General Class; Linear Independence; Hypergeometric Series;

D O I：

10.1007/s00208-002-0372-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A linear independence measure is obtained for values of solutions of a certain system of functional equations. This result is then applied to a rather general class of q-hypergeometric series, for example to the values of q-analogues of exponential and Bessel functions at several algebraic points.

引用

页码：123 / 136

页数：14

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