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Fungrim entry: d77f0a

P2 ⁣(z)=12(3z2−1)P_{2}\!\left(z\right) = \frac{1}{2} \left(3 {z}^{2} - 1\right)
Assumptions:z∈Cz \in \mathbb{C}
TeX:
P_{2}\!\left(z\right) = \frac{1}{2} \left(3 {z}^{2} - 1\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
LegendrePolynomialPn ⁣(z)P_{n}\!\left(z\right) Legendre polynomial
Powab{a}^{b} Power
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("d77f0a"),
    Formula(Equal(LegendrePolynomial(2, z), Mul(Div(1, 2), Sub(Mul(3, Pow(z, 2)), 1)))),
    Variables(z),
    Assumptions(Element(z, CC)))

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2021-03-15 19:12:00.328586 UTC