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Fungrim entry: 13f971

P5 ⁣(z)=18(63z5−70z3+15z)P_{5}\!\left(z\right) = \frac{1}{8} \left(63 {z}^{5} - 70 {z}^{3} + 15 z\right)
Assumptions:z∈Cz \in \mathbb{C}
TeX:
P_{5}\!\left(z\right) = \frac{1}{8} \left(63 {z}^{5} - 70 {z}^{3} + 15 z\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("13f971"),
    Formula(Equal(LegendrePolynomial(5, z), Mul(Div(1, 8), Add(Sub(Mul(63, Pow(z, 5)), Mul(70, Pow(z, 3))), Mul(15, z))))),
    Variables(z),
    Assumptions(Element(z, CC)))

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2021-03-15 19:12:00.328586 UTC