Two double-angle formulas of generalized trigonometric functions

Shota Sato; Shingo Takeuchi

doi:10.1016/j.jat.2019.105322

Two double-angle formulas of generalized trigonometric functions

Shota Sato, Shingo Takeuchi

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Article number	105322
Journal	Journal of Approximation Theory
Volume	250
DOIs	https://doi.org/10.1016/j.jat.2019.105322
Publication status	Published - 2020 Feb

Keywords

Dixon's elliptic functions
Double-angle formulas
Generalized trigonometric functions
Jacobian elliptic functions
Lemniscate function
p-Laplacian

ASJC Scopus subject areas

Analysis
Numerical Analysis
Mathematics(all)
Applied Mathematics

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title = "Two double-angle formulas of generalized trigonometric functions",

abstract = "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.",

keywords = "Dixon's elliptic functions, Double-angle formulas, Generalized trigonometric functions, Jacobian elliptic functions, Lemniscate function, p-Laplacian",

author = "Shota Sato and Shingo Takeuchi",

note = "Funding Information: The work of S. Takeuchi was supported by JSPS, Japan KAKENHI Grant Number 17K05336.",

year = "2020",

month = feb,

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language = "English",

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journal = "Journal of Approximation Theory",

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AU - Sato, Shota

AU - Takeuchi, Shingo

N1 - Funding Information: The work of S. Takeuchi was supported by JSPS, Japan KAKENHI Grant Number 17K05336.

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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JF - Journal of Approximation Theory

SN - 0021-9045

M1 - 105322

ER -

Two double-angle formulas of generalized trigonometric functions

Abstract

Keywords

ASJC Scopus subject areas

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