Theory and Applications of the Generating Functions

Pure Mathematics and Applied Science
Generating functions have various applications in many branches of mathematics and sciences, representing a widely used and powerful tool for solving problems. This book provides the mathematical basis and application examples: generating functions, infinite series, and asymptotic methods.
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.