Generalized sines and duplication formulae

DOI10.1016/j.jmaa.2023.127624OpenAlexW4385262364MaRDI QIDQ6058814

Paul Lee Robinson

Publication date: 1 November 2023

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127624

zbMATH Keywords

Weierstrass elliptic functionsgeneralized sine functions

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Elliptic functions and integrals (33E05) Exponential and trigonometric functions (33B10)

Cites Work

• Eigenvalues, embeddings and generalised trigonometric functions
• Properties of generalized trigonometric functions
• Applications of a duality between generalized trigonometric and hyperbolic functions
• Some double-angle formulas related to a generalized lemniscate function
• The trefoil
• Two double-angle formulas of generalized trigonometric functions
• The Fermat cubic, elliptic functions, continued fractions, and a combinatorial excursion
• Geometry and Number Theory on Clovers

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