TY  - BOOK
AU  - Miller,Willard
AU  - Askey,Richard
TI  - Symmetry and separation of variables
T2  - Encyclopedia of mathematics and its applications
SN  - 9781107325623 (ebook)
AV  - QC174.17.S9 M54 1984
U1  - 530.1/555 19
PY  - 1984///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Symmetry (Physics)
KW  - Functions, Special
KW  - Differential equations, Partial
KW  - Numerical solutions
KW  - Separation of variables
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9781107325623
ER  -