Theory and Applications of the Generating Functions: Pure Mathematics and Applied Science

English | 2024 | ISBN: 978-1774698747 | 461 Pages | PDF | 156 MB

The generating functions have various applications in many branches of mathematics and sciences, representing a widely used and powerful tool for solving problems. In combinatorics, they allow for obtaining a compact representation of discrete structures and the investigation of several properties of the sequences they generate, i.e. their asymptotic growth. Theory and Applications of the Generating Functions: Pure Mathematics and Applied Science book provides the mathematical basis and application examples: generating functions, infinite series, and asymptotic methods.