Two double-angle formulas of generalized trigonometric functions

JOURNAL OF APPROXIMATION THEORY

卷:250

Article

Sato, Shota¹  Takeuchi, Shingo¹ 

[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;   

DOI  :  10.1016/j.jat.2019.105322

来源: Elsevier

【 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.

【 授权许可】

Free