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Fungrim entry: afbd22

In ⁣(z)=In ⁣(z)I_{-n}\!\left(z\right) = I_{n}\!\left(z\right)
Assumptions:nZandzCn \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, z \in \mathbb{C}
I_{-n}\!\left(z\right) = I_{n}\!\left(z\right)

n \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, z \in \mathbb{C}
Fungrim symbol Notation Short description
BesselIIν ⁣(z)I_{\nu}\!\left(z\right) Modified Bessel function of the first kind
ZZZ\mathbb{Z} Integers
CCC\mathbb{C} Complex numbers
Source code for this entry:
    Formula(Equal(BesselI(Neg(n), z), BesselI(n, z))),
    Variables(n, z),
    Assumptions(And(Element(n, ZZ), Element(z, CC))))

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

2019-12-30 15:00:46.909060 UTC