432 Leopold Gegenhauer , 



kann man die eben abgeleiteten Gleichungen in die folgenden umformen 



/2v— U 



Cr(cosa:) = < — ^ — ( (cosfi— cosajj'-'Car (sin -^)cos^ rfj) + 



L'---' \/;r n (v— 1) sin '"'- ' -^ ^ Jo 



„, +/ (cosy — cosa;)^-'C2;_2('8in-|-^cos-|-rfy( 



Cr{cosx)= 9^ , (cosa;-cosy)^-'C2, cos-^ sm^rfy^ 



2'-V^n(v-l)cos'-4( ^""^ i V 2/ 2 



+ 1 (cos X— cos j))''-' C2r-2 ('cos-|-"j sin -|- d^, 



C;(cosa;)=: (2r+2v— 1)1 (cosy— cosa:^-' C2;_,(sin-|-]sinyf?y-2(>-+2v— 1). 



2-'»V^n(v-l)sin^^-'^^ Jo 



Li 



11) .1 (cos y — cosa;)"-' C'jr_2(sin -|-^cos-|-dy( 



Jo ' 



CXcosa:)= (2r + 2v — 1)1 (cosa;— cosy)'-'Cv_ycos-|-]sinyc/y — 2(r+2v— 1). 



2"r\/'^n(v-l)cos-^-'-^^ Jx 



(cos X — cos y)''-' Cjr'-? ('cos-i-') sin -~- f/y | 



27 2 



/2v— 3^ 

 (-1)^"(~2-) (2.+2V-1 



CXcosx) = ^ — ~] ^2T- ]/ / (eosy— cosa;)''-^C2r+i[sin-|-^siny(/j)H- 



2^-'\/:rIi(v— 2)sin2'- 



Sv— 1 



12) 



I I l r^rxc, .r. rtiT,c ^\^ — i. O^'^ /cjIt-J 7_ 



/ (cos y — COSx)'-^ C2r-i (®i^ 9 ) ^^^ ?'^?[ 



V 2 ! l2,-+2v-l /-;_,_ _.„^.-2^— /_ y\, 



C'(cos x) = r^, '^ ,. (cos .r — cos y)"-' O^r^^ \^^^ \] ^'" ^^^^^ + 



2'-V^n(v-2)cos^-'4' ^^"-^^ X ^ ^' 



+ I (cos a; — cos y)"*-^ Car-l ( cos ^~\ sin yrfy t 



13) C:(cosa;) = ^ ^2(2r+2v-l). 



2vv'«'n(v— 2)sin2^-*-f 



. 1 (cos y — cosa;)^-= Car' (sin -|-^ sin y sin -|- r/y — (: >-+4v^3) 1 (cos y - cosa;)'-^ Cl;;il (sin -|-j sin yrfy 



