Symmetry and separation of variables /

Miller, Willard.

Symmetry and separation of variables / Willard Miller, Jr. ; with a foreword by Richard Askey. - Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, c1977. - xxx, 285 p. 24 cm.

Is concerned with the relationship between symmetries of a linear second-order partial differential equationof mathematical physics,the coordinate systems in which the equation admits solutions via separation of variables,and the properties of the pecial functions that arise in this manner.Some modern group-theoric twists in the ancient method of separation of variables that can be used to provide a foundation for much special function theory are shown.In particular,it is shown explicitly that all special functions that arise via separation of variables in the equation of mathematical physics can be studied using group theory.

0-201-13503-5


Differential equations, Partial
Functions, Special.
Symmetry (Physics).

R QA 174.17 .M612 1977