Applications of generalized trigonometric functions with two parameters

DOI10.3934/cpaa.2019072zbMath1408.33001arXiv1903.07407OpenAlexW3102817134MaRDI QIDQ1733914

Hiroyuki Kobayashi, Shingo Takeuchi

Publication date: 21 March 2019

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07407

zbMATH Keywords

\(p\)-LaplacianGaussian hypergeometric functionsgeneralized trigonometric functionsWallis-type formulas

Mathematics Subject Classification ID

Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Exponential and trigonometric functions (33B10)

Related Items (10)

Remarkable properties of the \(\operatorname{sinc}_{p,q}\) functions and related integrals ⋮ Optimal spatially-dependent diffusion tensors ⋮ Sharp exponential type inequalities for the arc lemniscate sine function with applications ⋮ Application of modified generalized trigonometric functions in identification of human tooth vibration properties ⋮ Some remarks on a nonhomogeneous eigenvalue problem related to generalized trigonometric functions ⋮ Applications of a duality between generalized trigonometric and hyperbolic functions ⋮ Two double-angle formulas of generalized trigonometric functions ⋮ Applications of generalized trigonometric functions with two parameters II ⋮ Some double-angle formulas related to a generalized lemniscate function ⋮ A necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power mean

Uses Software

• DLMF

Cites Work

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