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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 ( a < / a2 ) , rather than > , the series takes on the form : 3V aar 7a2 ( 5 Φ ( 0 , 0 , φ ) = os30 + ( 2.33 ) 2.x2 12.x2 2 For large values of x / a this expansion converges rapidly and so is a useful ...
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 ) : 1 | x - x ...
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Introduction to Electrostatics
BoundaryValue Problems in Electrostatics I
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