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Fungrim entry: 40aeb6

Yν ⁣(z)=Yν1 ⁣(z)Yν+1 ⁣(z)2Y'_{\nu}\!\left(z\right) = \frac{Y_{\nu - 1}\!\left(z\right) - Y_{\nu + 1}\!\left(z\right)}{2}
Assumptions:νCandzC{0}\nu \in \mathbb{C} \,\mathbin{\operatorname{and}}\, z \in \mathbb{C} \setminus \left\{0\right\}
TeX:
Y'_{\nu}\!\left(z\right) = \frac{Y_{\nu - 1}\!\left(z\right) - Y_{\nu + 1}\!\left(z\right)}{2}

\nu \in \mathbb{C} \,\mathbin{\operatorname{and}}\, 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
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("40aeb6"),
    Formula(Equal(BesselY(nu, z, 1), Div(Sub(BesselY(Sub(nu, 1), z), BesselY(Add(nu, 1), z)), 2))),
    Variables(nu, z),
    Assumptions(And(Element(nu, CC), Element(z, SetMinus(CC, Set(0))))))

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2019-12-11 23:01:54.699850 UTC