Fungrim home page

Fungrim entry: 8472cc

Y3/2 ⁣(z)=(2zπ)1/2(cos(z)z2+sin(z)z)Y_{3 / 2}\!\left(z\right) = -{\left(\frac{2 z}{\pi}\right)}^{1 / 2} \left(\frac{\cos(z)}{{z}^{2}} + \frac{\sin(z)}{z}\right)
Assumptions:zC{0}z \in \mathbb{C} \setminus \left\{0\right\}
Y_{3 / 2}\!\left(z\right) = -{\left(\frac{2 z}{\pi}\right)}^{1 / 2} \left(\frac{\cos(z)}{{z}^{2}} + \frac{\sin(z)}{z}\right)

z \in \mathbb{C} \setminus \left\{0\right\}
Fungrim symbol Notation Short description
BesselYYν ⁣(z)Y_{\nu}\!\left(z\right) Bessel function of the second kind
Powab{a}^{b} Power
Piπ\pi The constant pi (3.14...)
Coscos(z)\cos(z) Cosine
Sinsin(z)\sin(z) Sine
CCC\mathbb{C} Complex numbers
Source code for this entry:
    Formula(Equal(BesselY(Div(3, 2), z), Neg(Mul(Pow(Div(Mul(2, z), Pi), Div(1, 2)), Add(Div(Cos(z), Pow(z, 2)), Div(Sin(z), z)))))),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

Topics using this entry

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

2021-03-15 19:12:00.328586 UTC