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.
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.
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.
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.
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