Some properties of the generalized Jacobian elliptic functions II |
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Authors: | Edward Neuman |
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Institution: | 1. Mathematical Research Institute, 144 Hawthorn Hollow, Carbondale, IL 62903, USAedneuman76@gmail.com |
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Abstract: | Generalized Jacobian elliptic functions play an important role in some bifurcation problems involving one-dimensional p-Laplacian. One of the goals of this paper is to investigate various kinds of concavity of these functions. Also, inequalities involving functions under discussion, and in particular Slater inequality is established. Transformations changing the variable and modulus are obtained. |
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Keywords: | generalized Jacobian elliptic functions logarithmic and multiplicative concavity inequalities transformations |
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