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Fungrim entry: 81ffcd

K0′ ⁣(z)=−K1 ⁣(z)K'_{0}\!\left(z\right) = -K_{1}\!\left(z\right)
Assumptions:z∈C∖{0}z \in \mathbb{C} \setminus \left\{0\right\}
TeX:
K'_{0}\!\left(z\right) = -K_{1}\!\left(z\right)

z \in \mathbb{C} \setminus \left\{0\right\}
Definitions:
Fungrim symbol Notation Short description
BesselKDerivativeKν(r) ⁣(z)K^{(r)}_{\nu}\!\left(z\right) Differentiated modified Bessel function of the second kind
BesselKKν ⁣(z)K_{\nu}\!\left(z\right) Modified Bessel function of the second kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("81ffcd"),
    Formula(Equal(BesselKDerivative(0, z, 1), Neg(BesselK(1, z)))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

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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