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## Homework Statement

I have a Stochastic Processes test coming up soon and we are taught about the first passage decomposition. I understand this but it then says that it changes it to a generating function

## Homework Equations

Generating function P

_{ij}(s) = Ʃ p

_{ij}

^{(n)}s

^{n}

and F

_{ij}(s) = Ʃ f

_{ij}

^{(n)}s

^{n}

What does this generating function actually mean and what is the difference between

P

_{ij}(s) and F

_{ij}(s)?