Integral involving elliptic function

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1967 English Publisher:Springer Science and Business Media LLCJournal:Rendiconti del Circolo Matematico di Palermo, volume 16, pages 252-256 (issn: 0009-725X, eissn: 1973-4409,

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Authors: Gurtu, V. K.;

doi: 10.1007/bf02843758

Integral involving elliptic function

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Abstract

It is shown here that an IntegralI of the form$\int {\frac{{dx}}{{[Ax^0 + {\rm B}x^4 + Cx^2 + D]^{{\raise0.5ex\hbox{$\scriptstyle 1$}\kern-0.1em/\kern-0.15em\lower0.25ex\hbox{$\scriptstyle 2$}}} }}} $, whereA, B, C, D are real constants, can, under certain conditions, be expressed as an Elliptic Integral of the first kind.

Related Organizations

University of Allahabad
India

Keywords

differentiation and integration, measure theory

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