### 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 |
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Article number | 105322 |

Journal | Journal of Approximation Theory |

Volume | 250 |

DOIs | |

Publication status | Published - 2020 Feb |

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### 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