An Elementary Treatise on Spherical Harmonics, and Subjects Connected with ThemMacmillan, 1877 - 160 pages |
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a²+b² axis b²+w become infinite bounding surface C₁ Cambridge centre Chap cloth co-ordinates coefficients College component attraction confocal ellipsoid corresponding cos² Crown 8vo degree denoted differential equation distribution of density dV dV dx² dµdp ELEMENTARY TREATISE ellipsoidal harmonics equal expression external point factor fcap follows Hence homogeneous function internal lamina Mathematical monic multiplying numerous Illustrations obtain Owens College P₁ P₂ plane positive integer potential Professor radius rational integral function satisfy the equation Second Edition series of zonal shewn sin² solid angle solid harmonic solutions sphere spherical harmonic spherical shell suppose surface harmonic Tesseral thickness V₁ w₁ writing y+b² y+c² Y₁ zonal harmonics αλ αμ αμσ µ² µ³