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Fungrim entry: c6e6b2

zsinc⁡′′(z)+2sinc⁡′(z)+zsinc⁡(z)=0z \operatorname{sinc}''(z) + 2 \operatorname{sinc}'(z) + z \operatorname{sinc}(z) = 0
Assumptions:z∈Cz \in \mathbb{C}
TeX:
z \operatorname{sinc}''(z) + 2 \operatorname{sinc}'(z) + z \operatorname{sinc}(z) = 0

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
ComplexDerivativeddz f ⁣(z)\frac{d}{d z}\, f\!\left(z\right) Complex derivative
Sincsinc⁡(z)\operatorname{sinc}(z) Sinc function
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("c6e6b2"),
    Formula(Equal(Add(Add(Mul(z, ComplexDerivative(Sinc(z), For(z, z, 2))), Mul(2, ComplexDerivative(Sinc(z), For(z, z)))), Mul(z, Sinc(z))), 0)),
    Variables(z),
    Assumptions(Element(z, CC)))

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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