III. W, 4. THEORIE, PROPRIÉTÉS, FORMULES DE TRANSFORMATION, 



(62) (l+p)-° = Jj^(-p)« ,p^<l; [150,151] 



(1 — p)-'' +(l+p)-a ^a2«/l 



2 



d'oü: (63) '-^ y = ^TZT.P'" , P'<1; 



^«4^ (i-p)-°-(i + y)-'' ;^ «^"+'/' 2„ ./i 



^'*^ ^^ = ^p;rïT^p";^-<i-' 



(65) 6;- = J^p" ,P^<*; [160] 



(66) Z(l+p) = — J'-(— p)« , p^<] ; [166] 



o n 



(67) Cos.p = i:^=;^V-". [174] 



(68) 5t«.p = l|^"p2«+i, [174] 



1 « 1 1 



5.r 



(69) CcJ.p= 2p-^7— ^ ;= ^^'— -22«B,„_,, (70) 



p 1 (nu)-' — p^ p 1 1-"/' 



(71) Cosec.p=--~Zp:S \ ' , ==-+2^ ,„,. f>-' E,,,-, , (72) 

 » 1 (mtt)* — »- » 1 121.1 



'^ „ V [281— 28S] 



(73) Tang.-p = ép:^ = 2^ — -»2n-i Bo,,-! , (710 



^ ^ ^2^ ^ 1 (2n + l)7r2— p^ , 12«/i ^ ^ ^' 



(75) &c. -p = 4. ^ 1 (-1)^^-1 (2 n-1) ^ ^ P^ ,„ 



^ ^ 2^ 1 (2«+l)2 7i^— p2 1 J2";i -"' ^ ^ 



o. l"/2 »2«+I 1 



(7 7) Arcsin. w = ^ — - ^^^ , 



,_..„ ï ,p^<l; [182, 184.] 



(78) ^rrt^.p = li_-i^p2«+i 

 o 2n-|- 1 



Paffe 188. 



(79) {l+p'p^'Cos.{aArctff.,.) = l(-l)«f Mp2., '] 



o \2nl ( 



(80) (l+p2)i«&«.(a/lrc«9.p) = J-f—Dnl " ln2«+i ) 



o ^ \2«+l/ 'i 



oo 2»/2 1,2" 



(81) {Arcsin.py = -^^ — . P' < 1 ; [255] 



p o, 22n-l r,2n 



, p=<l; [35] 



