#special-functions

33. Special Functions

This volume studies classical and modern special functions arising as solutions to differential equations, integral transforms, and representation theory. It emphasizes structure, identities, and computational aspects. Part I. Foundations Chapter 1. What Are Special Functions 1.1 Definition and scope 1.2 Historical origins 1.3 Functions as solutions to equations 1.4 Orthogonality and completeness 1.5 Examples Chapter 2. Series and Integral Representations 2.1 Power series definitions 2.2 Integral representations 2.3 Generating functions...