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Fungrim entry: e2878f

sinc⁡(z)= 0F1 ⁣(32,−z24)\operatorname{sinc}(z) = \,{}_0F_1\!\left(\frac{3}{2}, -\frac{{z}^{2}}{4}\right)
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\operatorname{sinc}(z) = \,{}_0F_1\!\left(\frac{3}{2}, -\frac{{z}^{2}}{4}\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Sincsinc⁡(z)\operatorname{sinc}(z) Sinc function
Hypergeometric0F1 0F1 ⁣(a,z)\,{}_0F_1\!\left(a, z\right) Confluent hypergeometric limit function
Powab{a}^{b} Power
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("e2878f"),
    Formula(Equal(Sinc(z), Hypergeometric0F1(Div(3, 2), Neg(Div(Pow(z, 2), 4))))),
    Variables(z),
    Assumptions(Element(z, CC)))

Topics using this entry

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2021-03-15 19:12:00.328586 UTC