Generalized Laguerre polynomial Matlab script

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Generalized Laguerre polynomial calculates the generalized Laguerre polynomial L{n, alpha} for real valued alphas LaguerreGen calculates the generalized Laguerre polynomial L{n, alpha}This function computes the generalized Laguerre polynomial L{n,alpha}. If no alpha is supplied, alpha is set to zero and this function calculates the "normal" Laguerre polynomial.Input:- n = nonnegative integer as degree level- alpha >= -1 real number (input is optional)The output is formated as a polynomial vector of degree (n 1) corresponding to MATLAB norms (that is the highest coefficient is the first element).Possible usage:- polyval(LaguerreGen(n, alpha), x) evaluates L{n, alpha}(x)- roots(LaguerreGen(n, alpha)) calculates roots of L{n, alpha}Calculation is done recursively using matrix operations for very fast execution time. The formula is taken from Szegö: Orthogonal Polynomials, 1958, formula (5.1.10) Requirements: · MATLAB Release: R2006b
Operating system:
Windows / Linux / Mac OS / BSD / Solaris

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