Definition:Generating Function/Parameter
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Definition
Let $\map {G_A} z$ be a generating function for the sequence $A$.
The variable $z$ is a bound variable, known as the parameter of $\map {G_A} z$.
Also denoted as
The symbol used for the parameter varies.
$x$ is often used instead.
In the field of probability theory $s$ tends to be the symbol of choice.
Some authors use $\zeta$, and some use $t$.
Sources
- 1997: Donald E. Knuth: The Art of Computer Programming: Volume 1: Fundamental Algorithms (3rd ed.) ... (previous) ... (next): $\S 1.2.9$: Generating Functions