| Author |
Comment/Response |
William
|
 02/18/12 8:24pm
How to use Convert and GeneratingFunction?
would like to change Meixner's recurrence equation into Generating function,
but not success, after googled, it said Convert function will change something into differential equation and Dsolve
How to convert recurrence equation with variable coefficients into generating function
GeneratingFunction[c*(n+beta)*P(n+1)/(-1+c)+(c*(x+beta)/(1-c)-x)*P(n)+n*P(n-1)/(-1+c) = 0,n,z]
GeneratingFunction[c*(n+beta)*P(n+1)/(-1+c)+(c*(x+beta)/(1-c)-x)*P(n)+n*P(n-1)/(-1+c),n,z]
Expand((c*(n+beta)*P[n+1]/(-1+c)+(c*(x+beta)/(1-c)-x)*P[n]+n*P[n-1]/(-1+c))*z^n/n!)
Convert[sum[z^n*c*P[n+1]*n/(n!*(-1+c))+z^n*c*P[n+1]*beta/(n!*(-1+c))+z^n*P[n]*c*x/(n!*(1-c))+z^n*P[n]*c*beta/(n!*(1-c))-z^n*P[n]*x/n!+z^n*n*P[n-1]/(n!*(-1+c)),{n,0,infinity}],z]
Convert[sum[(c*(n+beta)*P[n+1]/(-1+c)+(c*(x+beta)/(1-c)-x)*P[n]+n*P[n-1]/(-1+c))*z^n/n!,{n,0,infinity}],z]
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