Research Topic · Peer-Reviewed

Generating Functions

Generating functions are a powerful tool in mathematics and computer science to solve certain types of problems, such as counting the number of ways certain types of objects can be arranged. A generating function is simply a function of a variable that can be used to generate a sequence of numbers. By studying the p…

Curated from this journal's research 📚 1 peer-reviewed article cited 🔖 ISSN 2643-2811 🗓 Reviewed June 2026

Overview

Generating functions are a powerful tool in mathematics and computer science to solve certain types of problems, such as counting the number of ways certain types of objects can be arranged. A generating function is simply a function of a variable that can be used to generate a sequence of numbers. By studying the properties of these functions, it is possible to determine the sequence of numbers that corresponds to it. For example, the generating function x^n can generate the sequence of natural numbers (1, 2, 3, etc), and its derivatives can be used to generate the sequence of squares (1, 4, 9, etc). Generating functions are especially useful for determining the number of solutions to a problem, such as counting the number of different ways to arrange a set of objects.

Research published in this journal

1 peer-reviewed article, ranked by relevance. Each links to its DOI.

Editorial oversight

Curated from peer-reviewed research published in Model Based Research (ISSN 2643-2811).

Journal editorial board
Yoshiaki Kikuchi · Japan Yung-Yao Chen · Taiwan Yang Chen · United States

This page summarises published research for orientation; it is not medical or professional advice.