General background and notation.- Orthogonal transformations.- Legendre functions.- Addition theorem.- Reprensentation theorem.- Applications of the addition theorem.- Rodrigues formula.- Funk Hecke formula.- Integral representations of spherical harmonics.- Associated legendre functions.- Properties of the legendre functions.- Differential equations.- Expansions in spherical harmonics.
Inhaltsverzeichnis
General background and notation. - Orthogonal transformations. - Legendre functions. - Addition theorem. - Reprensentation theorem. - Applications of the addition theorem. - Rodrigues formula. - Funk Hecke formula. - Integral representations of spherical harmonics. - Associated legendre functions. - Properties of the legendre functions. - Differential equations. - Expansions in spherical harmonics.
