Applications of generalized trigonometric functions with two parameters II

DOI10.7153/dea-2019-11-28zbMath1437.33017arXiv1904.01827OpenAlexW2999571750WikidataQ126319374 ScholiaQ126319374MaRDI QIDQ5217690

Shingo Takeuchi

Publication date: 25 February 2020

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.01827

zbMATH Keywords

\(p\)-LaplacianGaussian hypergeometric functionsLyapunov inequalitygeneralized trigonometric functionsinviscid primitive equations

Mathematics Subject Classification ID

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

Uses Software

• DLMF

Cites Work

• Remarks on generalized trigonometric functions
• Generalized Jacobian elliptic functions and their application to bifurcation problems associated with \(p\)-Laplacian
• Multiple-angle formulas of generalized trigonometric functions with two parameters
• Bounds for the difference between median and mean of beta and negative binomial distributions
• Applications of generalized trigonometric functions with two parameters
• On the closed solution to some nonhomogeneous eigenvalue problem with \(p\)-Laplacian
• On spectral theory of elliptic operators
• Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics
• A Variational Approach to Lyapunov Type Inequalities
• Liapunov-type inequalities and Neumann boundary value problems at resonance
• Lyapunov-type Inequalities
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