Obtain as a special case of expression (3 ). Sec. 140. the

Chapter 0, Problem 12.23

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Obtain as a special case of expression (3 ). Sec. 140. the expression I [ 7 U ( ,._ u l = :;-- I Q (I o. '" - o l - Q (ro. ,. . + o ll G ( l cl _,, (J for a function lJ that is harmonic in the se111icirc11/ar rt!gicm r < r0 0 < 0 < ;r and satisfies the boundary conditions U (r. 0) = U (r. ;r) = 0 (r < r 0 ). Jim U, (r. 0) = G((J) ((} < 0 < ;r) I II, ...... , for each 0 at which G is continuous.

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