TY - JOUR
T1 - Two double-angle formulas of generalized trigonometric functions
AU - Sato, Shota
AU - Takeuchi, Shingo
N1 - Funding Information:
The work of S. Takeuchi was supported by JSPS, Japan KAKENHI Grant Number 17K05336.
Publisher Copyright:
© 2019 Elsevier Inc.
PY - 2020/2
Y1 - 2020/2
N2 - 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.
AB - 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.
KW - Dixon's elliptic functions
KW - Double-angle formulas
KW - Generalized trigonometric functions
KW - Jacobian elliptic functions
KW - Lemniscate function
KW - p-Laplacian
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U2 - 10.1016/j.jat.2019.105322
DO - 10.1016/j.jat.2019.105322
M3 - Article
AN - SCOPUS:85074425298
SN - 0021-9045
VL - 250
JO - Journal of Approximation Theory
JF - Journal of Approximation Theory
M1 - 105322
ER -