On two functional equations with involution on groups related to sine and cosine functions

被引：18
|
作者：
Perkins, Allison M. [1 ]
Sahoo, Prasanna K. [1 ]
机构：
[1] Univ Louisville, Dept Math, Louisville, KY 40292 USA
来源：
AEQUATIONES MATHEMATICAE | 2015年 / 89卷 / 05期
关键词：
Abelian function; involution; Kannappan's functional equation; Van Vleck's functional equation; group character;
D O I：
10.1007/s00010-014-0309-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a group, be the field of complex numbers, z (0) be any fixed, nonzero element in the center Z(G) of the group G, and be an involution. The main goals of this paper are to study the functional equations and for all and some fixed element z (0) in the center Z(G) of the group G.
引用
收藏
页码：1251 / 1263
页数：13
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