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Fungrim entry: 54daa9

sin(z)=z0F1 ⁣(32,14z2)\sin(z) = z \,{}_0F_1\!\left(\frac{3}{2}, -\frac{1}{4} {z}^{2}\right)
Assumptions:zCz \in \mathbb{C}
TeX:
\sin(z) = z \,{}_0F_1\!\left(\frac{3}{2}, -\frac{1}{4} {z}^{2}\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Sinsin(z)\sin(z) Sine
Hypergeometric0F10F1 ⁣(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("54daa9"),
    Formula(Equal(Sin(z), Mul(z, Hypergeometric0F1(Div(3, 2), Mul(Neg(Div(1, 4)), Pow(z, 2)))))),
    Variables(z),
    Assumptions(Element(z, CC)))

Topics using this entry

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

2019-10-05 13:11:19.856591 UTC