This is the second of three volumes which present, in an  original way, some of the most 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 made accessible for the non-expert by providing some context.  The material on group representation and Young tableaux is  introductory in nature. The algebraic approach of Chapter 2 is  original to the authors and has not appeared previously. Similarly,  the material and approach based on Appell states, so formulated, is  presented here for the first time. The solutions are tackled with the  help of various analytical techniques, such as generating functions  and probabilistic methods and insights appear regularly.   For pure and applied mathematicians and theoretical computer  scientists. It is suitable for selfstudy by researchers, as well as  being appropriate as a text for a course or advanced seminar.

Algebraic Structures and Operator Calculus: Volume II: Special Functions and Computer Science (Mathematics and Its Applications) PDF

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