Fungrim entry: 54daa9

\sin(z) = z \,{}_0F_1\!\left(\frac{3}{2}, -\frac{1}{4} {z}^{2}\right)

Assumptions:

z \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
`Sin`	$\sin(z)$	Sine
`Hypergeometric0F1`	$\,{}_0F_1\!\left(a, z\right)$	Confluent hypergeometric limit function
`Pow`	${a}^{b}$	Power
`CC`	$\mathbb{C}$	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

Sine

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