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Fungrim entry: 65647f

I3/2 ⁣(z)=(2zπ)1/2(cosh(z)zsinh(z)z2)I_{3 / 2}\!\left(z\right) = {\left(\frac{2 z}{\pi}\right)}^{1 / 2} \left(\frac{\cosh(z)}{z} - \frac{\sinh(z)}{{z}^{2}}\right)
Assumptions:zC{0}z \in \mathbb{C} \setminus \left\{0\right\}
I_{3 / 2}\!\left(z\right) = {\left(\frac{2 z}{\pi}\right)}^{1 / 2} \left(\frac{\cosh(z)}{z} - \frac{\sinh(z)}{{z}^{2}}\right)

z \in \mathbb{C} \setminus \left\{0\right\}
Fungrim symbol Notation Short description
BesselIIν ⁣(z)I_{\nu}\!\left(z\right) Modified Bessel function of the first kind
Powab{a}^{b} Power
Piπ\pi The constant pi (3.14...)
CCC\mathbb{C} Complex numbers
Source code for this entry:
    Formula(Equal(BesselI(Div(3, 2), z), Mul(Pow(Div(Mul(2, z), Pi), Div(1, 2)), Sub(Div(Cosh(z), z), Div(Sinh(z), Pow(z, 2)))))),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

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2021-03-15 19:12:00.328586 UTC