EFFECT OF GROUND PERMEABILITY 

 The p series are all comprised in the single formula 



"~ e2f(2+x/2)l- 



483 



/ , , x\ ,{ ^ 1 



^O+x/2)0px — I 1 + :^ I ! ! 1(1+1/2)0 -, 



V 2; I ^^^ 



.r+1 



2/ ' 



2( 2+^H 



12/1. (.r+l)(x + 3) x+l 



~r ^ I •*<; (3+1/2)2 -/ ;;7\ i(2+i/?>i 



2M 3 + ^ 1 ' 



2( 2+^»' 



Since '{„m = r«(n-i) + wz^n-i-m) wc Can write this 



i(l+x/2)0px — Wi(Zi + 5i, 



where 



^x — ( 1 + ^ ) M r( 1+1/2)1/2 



+ e2/4r 



1 



i+i" 



(3+1/2) (2+1/2) 



— e2f(2+x/2) (1+1/2) 



(.x+ l)(x + 3) 

 2^(^3+1)! 



.T + 1 



2( 2+^H 



— f(2+x/2) (1+1/2) 



X + 1 



2( 2 +1 i ' 



5o = 



M 1 1 + M 

 log— ;S — 



ix^- 1 



2 



/ - r/1 , 1 2m ,_ 1+)u 



^^^ irr^j (2 + ^:^-07^^^^°^^- 



1 :x; 4- 2 



^x = -. 7 7 (fx/2(x/2-l) - 5x-2) for 4 < X. 



]r- — \ X — \ 

 Bv separating the real and imaginary parts one gets from equation 





'^'~'^\[~iS '''''' ^^''^'^i^\{h ^ co^^^-5«- + 



+ 2M 



M_ 



V2 



^ (-')"sin 20-52 --|^ (I Ysin 60-36 + 



r cos 



31 



H COS 30 y^ cos 50 , , 



93 — :^^^^- 35 + + 



^^■5 



2 



+ ^Tl^(lj^^«^20(r2oi>2 + g2log^^, 



1 M / ''\^ / 2 



~ 2 3!4! i^ 2 j ''''" ^^ V ^''°^' "^ "^^ ^"^ T^ 



+ \ 5!^! (l)'"""' 100 (uoPio + gio log I;;) - + •••. 



