# scipy.special.sh_legendre¶

scipy.special.sh_legendre(n, monic=False)[source]

Shifted Legendre polynomial.

Defined as $$P^*_n(x) = P_n(2x - 1)$$ for $$P_n$$ the nth Legendre polynomial.

Parameters: n : int Degree of the polynomial. monic : bool, optional If True, scale the leading coefficient to be 1. Default is False. P : orthopoly1d Shifted Legendre polynomial.

Notes

The polynomials $$P^*_n$$ are orthogonal over $$[0, 1]$$ with weight function 1.

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