# Category:Generating Functions

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This category contains results about **Generating Functions**.

Definitions specific to this category can be found in **Definitions/Generating Functions**.

Let $A = \sequence {a_n}$ be a sequence in $\R$.

Then $\ds \map {G_A} z = \sum_{n \mathop \ge 0} a_n z^n$ is called the **generating function** for the sequence $A$.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

### E

## Pages in category "Generating Functions"

The following 21 pages are in this category, out of 21 total.

### D

### G

- Generating Function by Power of Parameter
- Generating Function Divided by Power of Parameter
- Generating Function for Even Terms of Sequence
- Generating Function for Linearly Recurrent Sequence
- Generating Function for mth Terms of Sequence
- Generating Function for Odd Terms of Sequence
- Generating Function for Sequence of Partial Sums of Series
- Generating Function of Multiple of Parameter
- Generating Function of Sequence by Index