A First Course on Orthogonal Polynomials: Classical Orthogonal Polynomials and Related Topics

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 analyses are the only prerequisites