Generalized Laguerre polynomial 1.0

Date Added: June 01, 2013 | Visits: 329

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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 SzegdoTA: Orthogonal Polynomials, 1958, formula (5.1.10)

Requirements: No special requirements

Platforms: Matlab

Keyword: Alphax, Coefficient, Element, Evaluates, Highest, Polyvallaguerregenn, Rootslaguerregenn, Usage

Users rating: 0/10

License: Shareware

Size: 10 KB

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