Applications of a duality between generalized trigonometric and hyperbolic functions

DOI10.1016/j.jmaa.2021.125241zbMath1472.33002arXiv2011.06834OpenAlexW3152992062WikidataQ115570209 ScholiaQ115570209MaRDI QIDQ2033181

Shingo Takeuchi, Hiroki Miyakawa

Publication date: 14 June 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.06834

zbMATH Keywords

p-Laplaciangeneralized trigonometric functiongeneralized hyperbolic functiondouble-angle formulamultiple-angle formula

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10) Trigonometric solutions to PDEs (35C09)

Related Items (5)

Transformation properties of hypergeometric functions and their applications ⋮ Generalized sines and duplication formulae ⋮ Special functions and multi-stability of the Jensen type random operator equation in \(C^*\)-algebras via fixed point ⋮ Monotonicity and inequalities related to the generalized inverse lemniscate functions ⋮ Applications of a duality between generalized trigonometric and hyperbolic functions II

Cites Work

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• Eigenvalues, embeddings and generalised trigonometric functions
• Properties of generalized trigonometric functions
• Multiple-angle formulas of generalized trigonometric functions with two parameters
• Applications of generalized trigonometric functions with two parameters
• Some double-angle formulas related to a generalized lemniscate function
• Two double-angle formulas of generalized trigonometric functions
• Geometry and Number Theory on Clovers
• Inequalities for the generalized trigonometric, hyperbolic and Jacobian elliptic functions
• A survey for generalized trigonometric and hyperbolic functions
• Inequalities for the generalized trigonometric and hyperbolic functions

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