Tag ogf

Solving Recurrence Relations With Ordinary Generating Functions

Technique The basic technique is to multiply the equation with \(z^{N}\), sum over all \(N\), recast in terms of the generating function...

Ordinary Generating Functions

Definition An ordinary generating function of a sequence \(\left\{a_{k}\right\}\) is: \begin{equation*} A(z) = \sum_{k\ge 0}a_{k}z^{k}...