LegNorm: Evaluating Legendre's Polynomials of Degree 1, 2, 3, or 4
Description
This function evaluates the values of Legendre polynomials of degrees 1 to 4 on [0,1] at a value(s) x.
Usage
LegNorm(x)
Value
The returned list has the following elements:
p1
p1 is value(s) of the Legendre's polynomial of degree 1 at x
p2
p2 is value(s) of the Legendre's polynomial of degree 2 at x
p3
p3 is value(s) of the Legendre's polynomial of degree 3 at x
p4
p4 is value(s) of the Legendre's polynomial of degree 4 at x
Arguments
x
A scaler or vector of values at which the Legendre's ploynomials are to be evaluated.
Author
Mortaza Jamshidian, Siavash Jalal, and Camden Jansen
References
David, F. N. (1939). ``On Neyman's "smooth" test for goodness of fit: I. Distribution of the criterion Psi2 when the hypothesis tested is true,'' Biometrika, 31, 191-199, tools:::Rd_expr_doi("10.1093/biomet/31.1-2.191").