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2.9 Orthogonal functions and expansions , 44 . ... 3.8 Expansion of Green's functions in spherical coordinates , 77 . ... Multipoles , Electrostatics of Macroscopic Media , Dielectrics 98 4.1 Multipole expansion , 98 .
If the expansion parameter is ( aa / x2 ) , rather than a2 , the series takes on the form : 3Va | 7a2 ( 5 3 Φ ( α , θ , φ ) = cos ? 0 - COS ( 2.33 ) 2.r2 2 For large values of x / a this expansion converges rapidly and so is a eful ...
We first illustrate the type of expansion involved by considering spherical coordinates . For the case of no boundary surfaces , except at infinity , we already have the expansion of the Green's function , namely ( 3.70 ) : 0 1 = 471 Σ ...
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Introduction to Electrostatics
References and suggested reading
Multipoles Electrostatics of Macroscopic Media
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