On generalized trigonometric functions with two parameters
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Publication:1759357
DOI10.1016/j.jat.2012.06.003zbMath1257.33052arXiv1112.0483OpenAlexW1989560195MaRDI QIDQ1759357
Barkat Ali Bhayo, Matti Vuorinen
Publication date: 20 November 2012
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.0483
inequalitiesgeneralized trigonometric functionseigenfunctions of \(p\)-Laplacian\(\mathrm{sin}_{pq}\)
Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)
Related Items (29)
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Cites Work
- Remarks on generalized trigonometric functions
- Eigenvalues, embeddings and generalised trigonometric functions
- Generalized Jacobian elliptic functions and their application to bifurcation problems associated with \(p\)-Laplacian
- Properties of generalized trigonometric functions
- Functional inequalities involving special functions. II
- Computing the first eigenvalue of the \(p\)-Laplacian via the inverse power method
- Some remarkable sine and cosine functions
- On the closed solution to some nonhomogeneous eigenvalue problem with \(p\)-Laplacian
- Generalized convexity and inequalities
- Some Extensions of W. Gautschi's Inequalities for the Gamma Function
- ON RAMANUJAN'S DOUBLE INEQUALITY FOR THE GAMMA FUNCTION
- Inequalities for eigenfunctions of the $p$-Laplacian
- Some Inequalities for Hypergeometric Functions
- On the asymptotic representation of the Euler gamma function by Ramanujan
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