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Fungrim entry: a17386

P4 ⁣(z)=18(35z430z2+3)P_{4}\!\left(z\right) = \frac{1}{8} \left(35 {z}^{4} - 30 {z}^{2} + 3\right)
Assumptions:zCz \in \mathbb{C}
TeX:
P_{4}\!\left(z\right) = \frac{1}{8} \left(35 {z}^{4} - 30 {z}^{2} + 3\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("a17386"),
    Formula(Equal(LegendrePolynomial(4, z), Mul(Div(1, 8), Add(Sub(Mul(35, Pow(z, 4)), Mul(30, Pow(z, 2))), 3)))),
    Variables(z),
    Assumptions(Element(z, CC)))

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2021-03-15 19:12:00.328586 UTC