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

UR - http://www.scopus.com/inward/record.url?scp=85074425298&partnerID=8YFLogxK

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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 -