Two double-angle formulas of generalized trigonometric functions

被引:6
|
作者
Sato, Shota [1 ]
Takeuchi, Shingo [1 ]
机构
[1] Shibaura Inst Technol, Dept Math Sci, Minuma Ku, 307 Fukasaku, Saitama, Saitama 3378570, Japan
关键词
Generalized trigonometric functions; Double-angle formulas; Lemniscate function; Jacobian elliptic functions; Dixon's elliptic functions; p-Laplacian;
D O I
10.1016/j.jat.2019.105322
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
With respect to generalized trigonometric functions, since the discovery of double-angle formula for a special case by Edmunds, Gurka and Lang in 2012, no double-angle formulas have been found. In this paper, we will establish new double-angle formulas of generalized trigonometric functions in two special cases. (C) 2019 Elsevier Inc. All rights reserved.
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页数:5
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