Linear Independence of the Values of q-Hypergeometric Series and Related Functions

被引：0
作者：
Masaaki Amou
Keijo Väänänen
机构：
[1] Gunma University,Department of Mathematics
[2] University of Oulu,Department of Mathematics
来源：
The Ramanujan Journal | 2005年 / 9卷
关键词：
linear independence; -hypergeometric series; linear recurrence; Poincaré functional equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give linear independence results for the values of certain entire series and of functions satisfying certain first order q-difference equations. The former generalizes a result of Bézivin, while the latter refines that of the second named author in qualitative form. These results imply linear independence of the values of q-hypergeometric series.
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页码：317 / 339
页数：22
相关论文
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