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From the definitions above it is evident that , for an arbitrary function f ( x ) , ( 3 ) f ( x ) 8 ( x – a ) dx = f ( a ) , and ( 3 ) foc s ses 8 ( 4 ) f ( x ) d'ox a ) dx = -f ' ( a ) , where a prime denotes differentiation with ...
1.10 Formal Solution of Electrostatic Boundary - Value Problem with Green's Function D'2 The solution of Poisson's ... on the bounding surface S can be obtained by means of Green's theorem ( 1.35 ) and so - called “ Green's functions .
Then it is convenient to express the Green's function as a series of products of the functions appropriate to the coordinates in question . We first illustrate the type of expansion involved by considering spherical coordinates .
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Introduction to Electrostatics
References and suggested reading
Multipoles Electrostatics of Macroscopic Media
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