Binomial Transform - Exponential Generating Function

Exponential Generating Function

For the exponential generating function, let

and

then

The Borel transform will convert the ordinary generating function to the exponential generating function.

Read more about this topic:  Binomial Transform

Famous quotes containing the word function:

    “Think of the tools in a tool-box: there is a hammer, pliers, a saw, a screwdriver, a rule, a glue-pot, nails and screws.—The function of words are as diverse as the functions of these objects.”
    —Ludwig Wittgenstein (1889–1951)