000 01511nam a2200253Ia 4500
001 94091
003 0000000000
005 20211103230101.0
008 060505s1977 000 0 eng d
020 _a0-201-13503-5
035 _a(AEA)6843F33724F74FCC9F67CBC1111A4CDD
040 _aAEA
_cAEA
050 _aR QA 174.17 .M612 1977
100 _aMiller, Willard.
_993858
245 0 _aSymmetry and separation of variables /
_cWillard Miller, Jr. ; with a foreword by Richard Askey.
260 _aReading, Mass. :
_bAddison-Wesley Pub. Co., Advanced Book Program,
_cc1977.
300 _axxx, 285 p.
_c24 cm.
520 _aIs 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.
650 _aDifferential equations, Partial
_2sears
_921199
650 _aFunctions, Special.
_2sears
_993859
650 _aSymmetry (Physics).
_2sears
_993860
942 _cREF
999 _c64288
_d64288