50 



SUR LES FONCTIONS D'ORDRE SUPÉRIEUR 



(30) 



(31) 



(32) 



(34) 



i+(_iy?ït')ioga+(i + i + i+..H- s i :î 



(2«+*_i 



i -+- 1 



.,] 



c »=• (- 1 y [ \ 



2t-t-2 V ; „4 v \ 2 



2i-4-l\ 1 



2 -iJiï= Bw - 



Îu-H 



,é V 2« 1 S" B ^ v ' £, (2, 



1 



3*+ 2 -l 



logn Sl + 1 = 1-4- 



(-I)'B 



H-H 



='f_llu 



loir 3 -+- 1 



I I 



,£, (2^+l)(2*n-2)...(2At+2t-+-2) 2 2 "+' 



3 !< +! _, 



3(ï-4- 1) 





2 3 2«'-4-l 



I \ (%i+i\ 1 



1i— 2o+iy \2u--i7 5 



2t+2 

 B«- 8u+ i 



■â 2 ^ ^ '^' -1.2.5...(2t+1) y - 



2S 



i/i+i 



I 



/tt (2^-t-l) (2j*-+-2; ... (2p.+2*-4-2) 3^+' 



G«+'-4-3 2 ' +l + 2 5 '+ , -l , 2*+'-1 , 3 î,+, -i* 



— _lo gOM+l =Iog6+(-l)'+«— -— -B M+l log3+(-ir«— — B 8i+ ,log2 



Y- 11 H 1 1 ) 



3(2t+2) \ 2 2i-t-l/ L 



,+( - 1)i+ '- M+ , - B ' 



é\ Vu /6 Sa ° + l ' et u \ 2 3 2»-2u+iy\2o-l/6* u 



■1.2.3... (2i-4-l) T — — . 



1 ' log * M+1 = 1 + (— 1)'+' B. 2i+1 log 4 — ■ — - 



2 ° \ v ; 2i-4-2 / 2(28-4-2) 



I \T (2 2,+, -4-l)(2 2 '+ 2 -1) 

 — 1+(-l^ lV Ai -B„ 



^,\ 2u / 4 2u \ 2 3 



_(_iyi«w\ v __ 



■•*— ïï 



1 \ /2i+l\B M _ îu+1 



(—!)'+' ! -B. (+ i] 



2i -1- 2 + 'J 



! 2 3 



2i — 2o-4- 1/ \2o — 1/ 4 Su 



— 1.2.3... (2/ -4- 1) 2 



J î/u-t-i 



^, (2/* h- 1 ) . . . (2p -4- 2t -+- 2) t"**' 



(2»+»_ 1)(2*'+ 1 — 1) 



2 



los 



n H+l ! 



2 2 ' \ C 



1)"'+ 2 - r B 8l+ ,]log2-4- 



1-4- 1 



+ (-ir(«+5 



-(-1/4"+' 2 



1 \(2 ,i+, -l)(2 ,,+l -l) 

 + "2i+l/ 2t -4- 2 



B tlJ .,-4««- j y 



u =72«'-4-1 



£i\ 2u 



I 



2(2» -h 2) 



1 \iognj il _, u+1 



/«=00 



2ï -2u+i 



2t -4- 1\ B sj _ 2u+1 

 2u— 1 



1 .2.3...(2t -4- 1) ^ 





S, (2as + 1) ... (2p -4- 2i -4- 2) 2 2 / i+ ' 



