Fungrim home page

Fungrim entry: 22a42f

BranchCuts ⁣(Pn ⁣(z),z,C)={}\operatorname{BranchCuts}\!\left(P_{n}\!\left(z\right), z, \mathbb{C}\right) = \left\{\right\}
Assumptions:nZ0n \in \mathbb{Z}_{\ge 0}
TeX:
\operatorname{BranchCuts}\!\left(P_{n}\!\left(z\right), z, \mathbb{C}\right) = \left\{\right\}

n \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol Notation Short description
LegendrePolynomialPn ⁣(z)P_{n}\!\left(z\right) Legendre polynomial
CCC\mathbb{C} Complex numbers
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("22a42f"),
    Formula(Equal(BranchCuts(LegendrePolynomial(n, z), z, CC), Set())),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(0))))

Topics using this entry

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

2019-06-18 07:49:59.356594 UTC