# Applications of generalized trigonometric functions with two parameters

Hiroyuki Kobayashi, Shingo Takeuchi

4 引用 (Scopus)

### 抄録

Generalized trigonometric functions (GTFs) are simple generalization of the classical trigonometric functions. GTFs are deeply related to the p-Laplacian, which is known as a typical nonlinear differential operator, and there are a lot of works on GTFs concerning the p-Laplacian. However, few applications to differential equations unrelated to the p-Laplacian are known. We will apply GTFs with two parameters to nonlinear nonlocal boundary value problems without p-Laplacian. Moreover, we will give integral formulas for the functions, e.g. Wallis-type formulas, and apply the formulas to the lemniscate function and the lemniscate constant.

元の言語 English 1509-1521 13 Communications on Pure and Applied Analysis 18 3 https://doi.org/10.3934/cpaa.2019072 Published - 2019 5 1

### Fingerprint

Boundary value problems
Differential equations

### ASJC Scopus subject areas

• Analysis
• Applied Mathematics

### これを引用

：: Communications on Pure and Applied Analysis, 巻 18, 番号 3, 01.05.2019, p. 1509-1521.

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