A new book authored by CMUC researchers, to appear in November 2024

A First Course on Orthogonal Polynomials
Classical Orthogonal Polynomials and Related Topics
By Kenier Castillo, and José Carlos Petronilho

CRC Press, Chapman & Hall, New York, 2024.

A First Course on Orthogonal Polynomials: Classical Orthogonal Polynomials and Related Topics provides an introduction to orthogonal polynomials and special functions aimed at graduate students studying these topics for the first time. A large part of its content is essentially inspired by the works of Pascal Maroni on the so-called algebraic theory of orthogonal polynomials, which distinguishes it from other contributions in the field.

Features

• Suitable for a graduate course in orthogonal polynomials
• Can be used for a short course on the algebraic theory of orthogonal polynomials and its applicability to the study of the "old" classical orthogonal polynomials
• Includes numerous exercises for each topic
• Real and complex analysis are the only prerequisites

https://doi.org/10.1201/9781003432067