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The theory of spherical and ellipsoidal harmonics
Ernest William Hobson
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Abstract
Preface 1. The transformation of Laplaces's equation 2. The solution of Laplace's equation in polar coordinates 3. The Legendres associated functions 4. Spherical harmonics 5. Spherical harmonics of general type 6. Approximate values of the generalized Legendres functions 7. Representation of functions by series 8. The addition theorems for general Legendres functions 9. The zeros of Legendres functions and associated functions 10. Harmonics for spaces bounded by surfaces of revolution 11. Ellipsoidal harmonics List of authors quoted General index.