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Fungrim entry: a85994

 2F1 ⁣(1,1,2,z)=−log⁡ ⁣(1−z)z\,{}_2F_1\!\left(1, 1, 2, z\right) = -\frac{\log\!\left(1 - z\right)}{z}
Assumptions:z∈C∖{0,1}z \in \mathbb{C} \setminus \left\{0, 1\right\}
TeX:
\,{}_2F_1\!\left(1, 1, 2, z\right) = -\frac{\log\!\left(1 - z\right)}{z}

z \in \mathbb{C} \setminus \left\{0, 1\right\}
Definitions:
Fungrim symbol Notation Short description
Hypergeometric2F1 2F1 ⁣(a,b,c,z)\,{}_2F_1\!\left(a, b, c, z\right) Gauss hypergeometric function
Loglog⁡ ⁣(z)\log\!\left(z\right) Natural logarithm
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("a85994"),
    Formula(Equal(Hypergeometric2F1(1, 1, 2, z), Neg(Div(Log(Sub(1, z)), z)))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, Set(0, 1)))))

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