Generating Functions

Posted on May 1, 2014
Tags: othermath

0.0.1 Ordinary Generating Function and Exponential Generating Function

\[OGF(a;x)=\sum_{n=0}a_nx^n\]

\[EGF(a;x) = \sum_{n=0}a_n\frac{x^n}{n!}\]

\[OGF(a;x)=\int_0^\infty OGF(xt)e^{-t}dt = \int_0^\infty \]

0.0.2 Extracting Coefficients