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cosy=cos6cos6′+ sin e sin e cos(φ-φ) Series Ynm(6,p)2= r2+r2-2rr'cosy m一n2n+1P+了m( 中)Ym(,中), (E200) r=min Ir,Irl, r>=max Irl, [rll (E201) Series expansion of a function f(6,φ) anm Ynm(e 202 f(6,)Ym(6,φ) sin e d6dφ (E203) @2001 by CRC Press LLCcos γ = cos θ cos θ + sin θ sin θ cos(φ − φ ) (E.198) Series n m=−n |Ynm(θ, φ)| 2 = 2n + 1 4π (E.199) 1 |r − r | = 1  r 2 + r2 − 2rr cos γ = 4π ∞ n=0 n m=−n 1 2n + 1 r n < r n+1 > Y ∗ nm(θ , φ )Ynm(θ, φ), (E.200) r< = min  |r|, |r |  , r> = max  |r|, |r |  (E.201) Series expansion of a function f (θ, φ) = ∞ n=0 n m=−n anmYnm(θ, φ) (E.202) anm = π −π π 0 f (θ, φ)Y ∗ nm(θ, φ)sin θ dθ dφ (E.203)
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