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 ofspecial function theory are shown. In particular, it is shown explicitly thatall special functions that arise via separation of variables in the equationsof mathematical physics can be studied using group theory. INDICE: Editor's statement; Section editor's statement; Preface; 1. The Helmholtz equation; 2. The Schrodinger and heat equations; 3. The three-variableHelmholtz and Laplace equations; 4. The wave equation; 5. The hypergeometric function and its generalizations; Appendices; References; Index.
- ISBN: 978-0-521-17739-9
- Editorial: Cambridge University
- Encuadernacion: Rústica
- Páginas: 316
- Fecha Publicación: 01/03/2011
- Nº Volúmenes: 1
- Idioma: Inglés