Incomplete elliptic integral of the second kind: Series representations (formula 08.04.06.0062)

EllipticE

$Mathematica Notation$

Elliptic Integrals

EllipticE[z,m]

Series representations

Generalized power series

Expansions at m==1

http://functions.wolfram.com/08.04.06.0062.01

Input Form

EllipticE[z, m] \[Proportional] (-1)^Round[Re[z]/Pi] Sin[z] + 2 Round[Re[z]/Pi] + O[m - 1] /; !Element[(Pi + 2 Re[z])/(4 Pi), Integers]

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2007-05-02

EllipticE[z]