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Referenced on Wolfram|Alpha Spherical Harmonic Cite this as:įrom MathWorld-A Wolfram Web Resource. Legendre Functions' and 'The Solution of Laplace's Equation which SatisfiesĪssigned Boundary Conditions at the Surface of a Sphere.' §18.31 and 18.4Ĭourse in Modern Analysis, 4th ed. 'Solution of Laplace's Equation Involving Theory of Potential and Spherical Harmonics, 2nd ed. Of Spherical Harmonics with Respect to Square Integrable Functions.' §3.18-3.20įunctions, rev. Harmonics and the Addition Theorem for Legendre Polynomials,' and 'Completeness Polynomials and Spherical Harmonics,' 'Integral Properties of Spherical Cambridge, England:Ĭambridge University Press, pp. 246-248, 1992. Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Amsterdam, Netherlands: North-Holland,ġ980. Lie Group: Rotations in Quantum Mechanics. Harmonics: An Elementary Treatise on Harmonic Functions, with Applications, 3rd ed. 'On the Expansion of a Function in Terms of Spherical Harmonics in Arbitraryĭimensions.' Bull. Theory of Spherical and Ellipsoidal Harmonics.

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GeometricĪpplications of Fourier Series and Spherical Harmonics. AnĮlementary Treatise on Spherical Harmonics and Subjects Connected with Them. Harmonics, with Applications to Problems in Mathematical Physics. calculate the weighted mean and its uncertainty which are returned in // tau and tauerr. 'Spherical Harmonics.'Įlementary Treatise on Fourier's Series, and Spherical, Cylindrical, and Ellipsoidal double(iPhi) MPI / double(nPoints) TVectorD v(2) v0. This name also makes them realistic and this feature helps them. Orlando, FL: Academic Press, pp. 680-685Īnd 698-700, 1985. In Moon sign based Vedic Astrology, person with name Iphimedeia are with huge inner power.

Harmonics.' §12.6 and 12.9 in Mathematical 'Spherical Harmonics' and 'Integrals of the Products of Three Spherical Schrödinger Equation.' Lecture Notes for Computational Physics 2.

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