Some double-angle formulas related to a generalized lemniscate function

DOI10.1007/s11139-021-00395-xzbMath1502.33011arXiv1912.11483OpenAlexW3135175750WikidataQ113900577 ScholiaQ113900577MaRDI QIDQ2052863

Shingo Takeuchi

Publication date: 29 November 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11483

zbMATH Keywords

\(p\)-LaplacianJacobian elliptic functionsgeneralized trigonometric functionslemniscate functiondouble-angle formulas

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Elliptic functions and integrals (33E05)

Related Items (3)

Generalized sines and duplication formulae ⋮ Applications of a duality between generalized trigonometric and hyperbolic functions ⋮ Applications of a duality between generalized trigonometric and hyperbolic functions II

Cites Work

• 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
• On the closed solution to some nonhomogeneous eigenvalue problem with \(p\)-Laplacian
• Two double-angle formulas of generalized trigonometric functions
• Geometry and Number Theory on Clovers
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