((U) 





MULTIPLICATION OF ELLIPTIC PUXCTIOXS. 

 1 



183 





1 Z z- 2™+^ 



1, 2z, ... (w- 1)2™- 2 D— , D— , D— , ... D- — 



s s s s 



1 ^ - 2 /.y?i 



(;«" 1)! , D™-i— , D"'-i— , D™^^— , ... D"^ ^— 

 ' s s s s 



1 ,- ^2 .,»1+1 



.9 .9 S S 



m+l 



2)m+l_ J)in+\JL- Dm+lf_ J)in+\ ^ 



S ' S ' 5 ' ' " S 



1 „ ,2 ^,m+l 

 jyim±_ JJ2m_ JJ^mjL^ D^m^ 



S ' .9 ' S ' '" S 



= 



Now put 



(65) 



iJ 



2)m-l_î_ D^-l^ ... i)»-i:^ 



.9 S S 



1 ~ p,?«+l 



D"'J_, D«_, ... D"'i — 

 ■s s s 



1 



ym+l 



Ty2m__ JJ2m '^ jyim ^ 



.9 ' S ' ■■■ S 



nnd let the expau.sion of this determinant îiccording to the elements 

 of the first row be written : 



s s s 



We find 



a/C ^ 



2»«+! 



Vi-C (1-^) ^- = 





i^ 



VI -^'r (i-A-^) '' = 



u±l j^^p,H2^/^^^2,»_,_ ^O^ 



■''^m+2 



