Algebraic Structures and Operator Calculus

This is the second of three volumes which present some important tools of applied mathematics, in areas such as probability theory, operator calculus, representation theory, and special functions, used in solving problems in mathematics, physics and computer science. This second volume – “Special Functions and Computer Science” – presents some applications of special functions in computer science. It largely consists of adaptations of articles that have appeared in the literature, but here they are presented in a format which aims to be accessible for the non-expert by providing some context. The material on group representation and young tableaux is introductory in nature. The text has an algebraic approach in Chapter 2. The solutions are tackled with the help of various analytical techniques, such as generating functions and probabilistic methods and insights appear regularly. This text is aimed at pure and applied mathematicians and theoretical computer scientists. It should be suitable for study by researchers, as well as being appropriate as a text for a course on the subject.