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.
General
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