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Fungrim entry: 4dfd41

Y1/2 ⁣(z)=(2zπ)1/2cos ⁣(z)zY_{1 / 2}\!\left(z\right) = -{\left(\frac{2 z}{\pi}\right)}^{1 / 2} \frac{\cos\!\left(z\right)}{z}
Assumptions:zC{0}z \in \mathbb{C} \setminus \left\{0\right\}
TeX:
Y_{1 / 2}\!\left(z\right) = -{\left(\frac{2 z}{\pi}\right)}^{1 / 2} \frac{\cos\!\left(z\right)}{z}

z \in \mathbb{C} \setminus \left\{0\right\}
Definitions:
Fungrim symbol Notation Short description
BesselYYν ⁣(z)Y_{\nu}\!\left(z\right) Bessel function of the second kind
Powab{a}^{b} Power
ConstPiπ\pi The constant pi (3.14...)
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("4dfd41"),
    Formula(Equal(BesselY(Div(1, 2), z), Neg(Mul(Pow(Div(Mul(2, z), ConstPi), Div(1, 2)), Div(Cos(z), z))))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

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2019-09-19 20:12:49.583742 UTC