Special values of fractional hypergeometric functions for function fields

被引：1
|
作者：
Yao, Jia-Yan [1 ]
机构：
[1] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China
来源：
COMPTES RENDUS MATHEMATIQUE | 2012年 / 350卷 / 17-18期
基金：
中国国家自然科学基金;
关键词：
EQUATIONS;
D O I：
10.1016/j.crma.2012.10.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we study the fractional hypergeometric functions for function fields, introduced by D.S. Thakur. We shall characterize algebraic functions among them, and show the transcendence of special values at some nonzero algebraic arguments, in the case when they are entire transcendental functions. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：801 / 806
页数：6
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