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Inequalities and bounds for elliptic integrals |
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| Authors: | Haseeb Kazi Edward Neuman |
| Institution: | aDepartment of Mathematics and Computer Science, Tri-State University, 1 University Avenue, Angola, IN 46703, USA;bDepartment of Mathematics, Southern Illinois University, Mailcode 4408, 1245 Lincoln Drive, Carbondale, IL 62901, USA |
| Abstract: | Computable lower and upper bounds for the symmetric elliptic integrals and for Legendre's incomplete integral of the first kind are obtained. New bounds are sharper than those known earlier. Several inequalities involving integrals under discussion are derived. |
| Keywords: | Symmetric elliptic integrals Legendre's elliptic integrals The R-hypergeometric functions Inequalities Convexity Means |
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