MlMVni'LI<A'l'K)X OF EliLIPTFC FU\("I'K>NS. 



157 



CM 



A = 



I)'" l^^ ]y"-S- 7)ml2_^.,m-l 



n'"'s, J )-"'.s.';-, 7)-"'.s.?"'-i 



Inrtlier let the cxpiinsion of A arconliii^" to tlic clcinctits of the lirst 

 rt)\v lie wriflcii : 



(10.) A ^ D"'+Ks . Ai + ])"'^h.y . As + . . . + D"'+i.s^?'"-i . A, 



Xow 



.) J\ = 



1 , 2z, . . .{m + 1 )z"\ Ds, Dfi:, Dsf"-'^ 



{m + 1 ) ! , D'" ^^s D"'+hz, 7^'«+i.s .'»-1 



D2"'.<?, J)5"'.<?r, 7)2'".S,:'' 



= A 



, ~2 «)« j-îrt+l 



»•^j '* ) ■^ 



, -ir, m:"'-\(ni+ \): 



})i ! , (»1+ 1)! 



-(/^/+iy.Ai 



-(?;/ + l)!Ao 



;;/ ! , 7)"'.s 

 '2:, 'm.f"^\ Bft- 



-(w + niA, 





