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Fungrim entry: c0247f

I0 ⁣(z)=I1 ⁣(z)I'_{0}\!\left(z\right) = I_{1}\!\left(z\right)
Assumptions:zCz \in \mathbb{C}
TeX:
I'_{0}\!\left(z\right) = I_{1}\!\left(z\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
BesselIDerivativeIν(r) ⁣(z)I^{(r)}_{\nu}\!\left(z\right) Differentiated modified Bessel function of the first kind
BesselIIν ⁣(z)I_{\nu}\!\left(z\right) Modified Bessel function of the first kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("c0247f"),
    Formula(Equal(BesselIDerivative(0, z, 1), BesselI(1, z))),
    Variables(z),
    Assumptions(Element(z, CC)))

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