iterative convolution, discret convolution N times of the same

*To*: mathgroup at smc.vnet.net*Subject*: [mg102424] iterative convolution, discret convolution N times of the same*From*: Anna <petitmouton at gmail.com>*Date*: Sun, 9 Aug 2009 06:04:01 -0400 (EDT)

HI, I'm trying to do N time convulution of a density funtion called "fd" with itself . I tried to write an algorithm as shown For[i = 1; convn = fd, i <= N, i++, convn = DiscreteConvolve[convn, fd , x, m, Assumptions -> m > 0]; Print[convn]] The initial function fd(x) has x as input variable. After the convolution, the results convn(m) is in the function of m instead of x. That's the reason why the algorithm I wrote doesn't work after the first iteration since the DiscreteConvolve function couldn't find the input in a function as x anymore. I would like to ask a question is there a way to change the variable of a function? for exemple: how can I replace a function y = x+1 by y=m +1 ???? and is there another way to easily do a convolution N times of the same function? Thank you very much. Best regards, Victoria

**Follow-Ups**:**Re: Re: iterative convolution, discret***From:*DrMajorBob <btreat1@austin.rr.com>

**Re: iterative convolution, discret convolution N times of***From:*"Elton Kurt TeKolste" <tekolste@fastmail.us>