MULTIPLICATION OF ELLIPTIC FUNCTIONS. 22S 



By means of the above e(|uatioris, -we tiiid 



(104) 

 Aa = )i, A,= ^-^-| — (I + Â-j, 



n{nr-4) 



A^ = ^ [^ . ' KM--lÜX>r-8G)[0r--ü4Xl+/v-') + 4f4^r-l8X^- + A'^)] 



-0(/i'^+lüÜM*-21i4«H4752)/l*}, 



^io = - '-^^jir^ {(;r-l6XH'-86K-(34)[0i'MOOXl+^-'")+5(5;i2-l(5XA-+A-«)] 

 -2('247M«-882/i*'-7-2l02/i* + 661il2yr-l86.S0U0X/^HA*'')}, 



'^12 = ^^^7^7^^ |(/r'-l6X^i--36)0^^-64)(M2-lOOXvr-l44Xl + F^) 



+ 6(«-- l(5):;r-86X'r-64);;r- IOOXOm-- 19XA-+ P') 

 + (-57öl;i^'^+170472^i«-4yOi40»*^-22744752;i* 



+ 193986816^2- 3837 54240XA,H A;') 

 + 4( -3046yt^« + 75579;i«-260532m«- 5901554«* 



4- 48907368;r- 93498440)^'* } . 



§ 19. 



Lastly we consider the numerators of en }tu and dn nn, ii being 

 even. In this (;ase. ])Ut //"' = À p. 



As in the case where n is odd, C...JA) = BoJ-r-jk'-'" by (10(5), so 



