Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory.
- ISBN10 0201135035
- ISBN13 9780201135039
- Publish Date May 1978
- Publish Status Out of Print
- Out of Print 17 October 2003
- Publish Country GB
- Publisher Longman
- Imprint Longman Higher Education
- Format Paperback
- Pages 315
- Language English