### 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 | |

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

### Cite this

**Two double-angle formulas of generalized trigonometric functions.** / Sato, Shota; Takeuchi, Shingo.

Research output: Contribution to journal › Article

*Journal of Approximation Theory*, vol. 250, 105322. https://doi.org/10.1016/j.jat.2019.105322

}

TY - JOUR

T1 - Two double-angle formulas of generalized trigonometric functions

AU - Sato, Shota

AU - Takeuchi, Shingo

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

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

U2 - 10.1016/j.jat.2019.105322

DO - 10.1016/j.jat.2019.105322

M3 - Article

AN - SCOPUS:85074425298

VL - 250

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

SN - 0021-9045

M1 - 105322

ER -