# Analytic ordinary generating function

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Analytic ordinary generating function](https://ocme.evemisslab.com/en/atlas/atlas-analytic-ordinary-generating-function/)

An ordinary power series A(x)=sum over n≥0 of a_n*x^n analytically encodes a sequence on an explicitly declared convergence domain.

atlas-analytic-ordinary-generating-function · canonical_mko

[Analytic ordinary generating function](https://ocme.evemisslab.com/en/mko/mko-analytic-ordinary-generating-function/)

## Prerequisite nodes


- [Recurrence relation](https://ocme.evemisslab.com/en/atlas/atlas-recurrence-relation/)
- [Radius of convergence of a power series](https://ocme.evemisslab.com/en/atlas/atlas-power-series-radius-of-convergence/)
- [Sequence](https://ocme.evemisslab.com/en/atlas/atlas-sequence/)