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Formula:6275

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Digital Library of Mathematical Functions ID 18.7.E10

P n * ⁡ ( x ) = P n ⁡ ( 2 ⁢ x - 1 ) . shifted-spherical-Legendre-polynomial-s 𝑛 𝑥 Legendre-spherical-polynomial 𝑛 2 𝑥 1 {\displaystyle{\displaystyle P^{*}_{n}\left(x\right)=P_{n}\left(2x-1\right).}}


Constraint(s)

Symbols List

  • P n ⁡ ( x ) Legendre-spherical-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}} : Legendre polynomial
  • P n * ⁡ ( x ) shifted-spherical-Legendre-polynomial-s 𝑛 𝑥 {\displaystyle{\displaystyle P^{*}_{\NVar{n}}\left(\NVar{x}\right)}} : shifted Legendre polynomial
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
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This page was last edited on 28 January 2024, at 10:30.
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