References
- Carlson BC. Special functions of applied mathematics. New York: Academic Press; 1977.
- Lawden DF, Elliptic functions and applications, Applied Mathematics Series, Vol. 80. New York: Springer; 1989.
- Neville EM. Jacobian elliptic functions. 2nd ed. London: Oxford University Press; 1951.
- Olver FWJ, Lozier DW, Boisvert RF, Clark CW, editors. NIST handbook of mathematical functions. New York: Cambridge University Press; 2010.
- Whittaker ET, Watson GN. A course of modern analysis. 4th ed. New York: Cambridge University Press; 1990.
- Takeuchi S. Generalized Jacobian elliptic functions and their application to bifurcation problems associated with p-Laplacian. J Math Anal Appl. 2012;385:24–35. doi: 10.1016/j.jmaa.2011.06.063
- Lindqvist P. Some remarkable sine and cosine functions. Ricerche Mat. 1995;44(2):269–290.
- Bhayo BA, Vuorinen M. Inequalities for eigenfunctions of the p-Laplacian. Issues Anal. 2013;2(20):13–35. doi: 10.15393/j3.art.2013.2322
- Klén R, Vuorinen M, Zhang X. Inequalities for the generalized trigonometric and hyperbolic functions. J Math Anal Appl. 2014;409:521–529. doi: 10.1016/j.jmaa.2013.07.021
- Neuman N. On the inequalities for the generalized trigonometric functions. Int J Anal. 2014;5. Article ID 319837.
- Neuman E. Inequalities for the generalized trigonometric hyperbolic and Jacobian elliptic functions. J Math Inequal, in press.
- Neuman E. One- and two-sided inequalities for Jacobian elliptic functions and related results. Integral Transforms Spec Funct. 2010;21:399–407. doi: 10.1080/10652460903345961
- Neuman E. Inequalities for Jacobian elliptic functions and Gauss lemniscate functions. Appl Math Comput. 2012;218:7774–7782. doi: 10.1016/j.amc.2012.01.041
- Neuman E. Product formulas and bounds for Jacobian elliptic functions with applications. Integral Transforms Spec Funct. 2012;23:347–354. doi: 10.1080/10652469.2011.590807
- Neuman E. Wilker- and Huygens-type inequalities for Jacobian elliptic and theta functions. Integral Transforms Spec Funct. 2014;25:240–248. doi: 10.1080/10652469.2013.838761
- Neuman E. On the p-version of the Schwab–Borchardt mean. Int J Math Math Sci. 2014;7. Article ID 697643.
- Neuman E. Inequalities involving generalized Jacobian elliptic functions. Integral Transforms Spec Funct. 2014;25:864–873. doi: 10.1080/10652469.2014.937434
- Takeuchi S. The basis property of generalized Jacobian elliptic functions. arXiv math.CA 1310.0597v1.
- Carlson BC. Symmetry in c, d, n of Jacobian elliptic functions. J Math Anal Appl. 2004;299:242–253. doi: 10.1016/j.jmaa.2004.06.049
- Carlson BC. Some reformulated properties of Jacobian elliptic functions. J Math Anal Appl. 2006;323:522–529. doi: 10.1016/j.jmaa.2005.10.063