Inequalities and bounds for elliptic integrals

Authors:
Haseeb Kazi;Edward Neuman
Affiliations:
Department of Mathematics and Computer Science, Tri-State University, 1 University Avenue, Angola, IN 46703, USA;Department of Mathematics, Southern Illinois University, Mailcode 4408, 1245 Lincoln Drive, Carbondale, IL 62901, USA
Venue:
Journal of Approximation Theory
Year:
2007

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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.