Function Cl{x). 



443 



ll(w + 2v— l)y'i'"(y)^^" _ 2 



y 



,S 2" II ( « ) 11 ü + V- 4) (•« + v) V/'^ " ('' - 1 



ll(2v— ]) 



2v— 1 



2^1^^ 



V 2 



M / (1 — x')^~ 



^ — > ^^ 



2, I ( / 2 «sin2wN / , isin2i( 



2-^) + yi(y + -*'C08'y ^2 )! ^^'^'^ 



\/;rII(v — 1) 



l(,2v-l) 



2'11 



2v— 1 

 "2^ 



■^rY' (1-^^)"^ 



(l_23.r + ?*V 



. ., , j , . , /sm2m^ , . /sin 2a) 



f \f, \J/ 



Y- ] + f\ (//+■'• «'"' y- ^)f f/''- '/y 



Y' n (_« + 2v - ] ) y (,") {y) z" 2; 



.ti2Mi(«)n(«+v_A) V^'^iU'^-i! 



II (2v— 2^ 

 2v— h 



■^■"(~?^)J 



••+1 /--i- 



(l-i"M 



(1-^^)- 



2y-i 



(1— 2.-x+2''y'+' 



cos-"'-'w j}), [y + xci)a'<f+ — g-^j + y, (^y+xcos' ^ ^^J^ dxd<f 



S2(D. 



/ sin 2y 



2v 



>y;rn(v_ll 



II(2v— 1) 



2'n 



2v-l 



(1— c*) 



. /T" (1-*)- 



,l_2^.c + ^''V+' 



.sin — ' <f |y, (^// + x-siu'' pH ^) +(p, (^(/4-.fSin2'^ ^|| ^/xr/'^ 



V 



II(a + «— l)ll(ß + y;— l)lli«4-2v_lV,">(//)r"i'1^-, — 2 '^'2 '"-^" + 1'^ '^'^ 



2-"+' n(^;) rifw+v'^ 11(7 + H— n n(«+ V- |-) 



II(«— l)ll(ß— 1) 



\/7rn(7-i)[ii(v-r)i^ I , 



•+i 



/ ( K, ß, 7, fx) ( 1 — x^ ) 2 (/.(■ j cos-'- ' f ^ 'f^ l^y + x cos' '^ h - "^ + 



+ ^1 (!/+-''-cos''y— '-^-^jj r/^ 



_ iK^-nilCjS— 1) 



~n/^ii(7-i)|ii(^— 1^1* 



+1 



i''(c<, jS, 7, r.n (l — ,r'^) z d 



X I sin''-'}j ,9, l^y 







/ . sin2a>> 

 I v + .f sin' tpH ;— '^^ ' + 



2 



. /sin2»M 

 + y, ^y+.c sin' y ^^j^ f/o 



56* 



