Fungrim entry: aa1b8e

E\!\left(-\phi, m\right) = -E\!\left(\phi, m\right)

Assumptions:

\phi \in \mathbb{C} \;\mathbin{\operatorname{and}}\; m \in \mathbb{C}

TeX:

E\!\left(-\phi, m\right) = -E\!\left(\phi, m\right)

\phi \in \mathbb{C} \;\mathbin{\operatorname{and}}\; m \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`IncompleteEllipticE`	$E\!\left(\phi, m\right)$	Legendre incomplete elliptic integral of the second kind
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("aa1b8e"),
    Formula(Equal(IncompleteEllipticE(Neg(phi), m), Neg(IncompleteEllipticE(phi, m)))),
    Variables(phi, m),
    Assumptions(And(Element(phi, CC), Element(m, CC))))

Topics using this entry

Legendre elliptic integrals

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC