bundles / scipy latest / scipy / special / _orthogonal / sh_legendre

function

`scipy.special._orthogonal:sh_legendre`

source: /scipy/special/_orthogonal.py :2561

Signature

def sh_legendre ( n , monic = False )

Summary

Shifted Legendre polynomial.

Extended Summary

Defined as $P_{n}^{*} (x) = P_{n} (2 x - 1)$ 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.

Returns

P : orthopoly1d: Shifted Legendre polynomial.

Notes

The polynomials $P_{n}^{*}$ are orthogonal over $[0, 1]$ with weight function 1.

Aliases

scipy.special.sh_legendre