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Fungrim entry: b0eb37

F ⁣(ϕ,m)=F ⁣(ϕ,m)F\!\left(-\phi, m\right) = -F\!\left(\phi, m\right)
Assumptions:ϕC  and  mC\phi \in \mathbb{C} \;\mathbin{\operatorname{and}}\; m \in \mathbb{C}
TeX:
F\!\left(-\phi, m\right) = -F\!\left(\phi, m\right)

\phi \in \mathbb{C} \;\mathbin{\operatorname{and}}\; m \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
IncompleteEllipticFF ⁣(ϕ,m)F\!\left(\phi, m\right) Legendre incomplete elliptic integral of the first kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("b0eb37"),
    Formula(Equal(IncompleteEllipticF(Neg(phi), m), Neg(IncompleteEllipticF(phi, m)))),
    Variables(phi, m),
    Assumptions(And(Element(phi, CC), Element(m, CC))))

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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