search for: orthopolynom

Hi All, I need to evaluate a series expansion using Legendre polynomials. Using the 'orthopolinom' package I can get a list of the first n Legendre polynomials as character strings. > library(orthopolynom) > l<-legendre.polynomials(4) > l [[1]] 1 [[2]] x [[3]] -0.5 + 1.5*x^2 [[4]] -1.5*x + 2.5*x^3 [[5]] 0.375 - 3.75*x^2 + 4.375*x^4 But I can't figure out how to implement functions that could be evaluated for arbitrary 'x', from this list, Thanks for your help. Ariel./ --...

Dear list, This is quite a specific question requiring the package orthopolynom. This package provides a nice implementation of the Legendre polynomials, however I need the associated Legendre polynomial which can be readily expressed in terms of the mth order derivative of the corresponding Legendre polynomial. (For the curious, I'm trying to calculate spherical...

...c.? Diagnostics when limits are exceeded are not always meaningful. For example: > x <- rep(0,50000*50000) Error in rep(0, 50000 * 50000) : invalid 'times' argument In addition: Warning message: In as.vector(data) : NAs introduced by coercion Here's another example: > library(orthopolynom) > hermite <- hermite.h.polynomials(1001) > hermite[[1001]] # should display 1000-th degree polynomial Error in if (signs[1] == "- ") "-" else "" : missing value where TRUE/FALSE needed Thanks, Dominick

Hello everyone, I would like to find out if there are already implemented function for legendre polynomials. I tried google but returns nothing. How do you suggest me to search for that? Regards Alex [[alternative HTML version deleted]]

...with bivariate polynomials? How did you implement simple operators like addition/multiplication? I found a package called multipol that seems to support these kinds of operators but I do keep receiving error. Check for example the following snippet of code (you can copy & paste) require('orthopolynom') require('polynom') require('multipol') psi <-function (order){ psi<-matrix(data=polynomial.coefficients(legendre.polynomials(order)[[order+1]]),ncol=1) } phi <-function (order){ phi<-matrix(data=polynomial.coefficients(legendre.polynomials(order)[[order+1]]),...

Hi all, We know that Hermite polynomial is for Gaussian, Laguerre polynomial for Exponential distribution, Legendre polynomial for uniform distribution, Jacobi polynomial for Beta distribution. Does anyone know which kind of polynomial deals with the log-normal, Student抯 t, Inverse gamma and Fisher抯 F distribution? Thank you in advance! David [[alternative HTML version deleted]]