Fungrim entry: 7aa9be

\left(x \in \mathbb{C} \;\mathbin{\operatorname{and}}\; y \in \mathbb{C} \setminus \left\{0\right\}\right) \;\implies\; R_C\!\left(x, y\right) \in \mathbb{C}

TeX:

\left(x \in \mathbb{C} \;\mathbin{\operatorname{and}}\; y \in \mathbb{C} \setminus \left\{0\right\}\right) \;\implies\; R_C\!\left(x, y\right) \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`CC`	$\mathbb{C}$	Complex numbers
`CarlsonRC`	$R_C\!\left(x, y\right)$	Degenerate Carlson symmetric elliptic integral of the first kind

Source code for this entry:

Entry(ID("7aa9be"),
    Formula(Implies(And(Element(x, CC), Element(y, SetMinus(CC, Set(0)))), Element(CarlsonRC(x, y), CC))),
    Variables(x, y))

Topics using this entry

Carlson symmetric 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