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.
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页码：123 / 136
页数：14
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