190 



R. FüJISAWA. 



N', N'.,,N'snv,i\ also lie written ns follow« 



(79) N'-- 



' S ' 



' ' 1! ^ S ' 



^TO-2 — 1—7)2 _ 



' 'J ! .9 ' 



(-1rs -^D'«-^, 



I ! ,9 ' 



'2 ! ,s- ' 



8 ! .9 ' 



7)w+l_ 



w!'^ s ' (w+1)! .9 ' 



1 



D 



,. 1 1 ! 



(w— J)! .s 



7;i ! .9 



1 Z)-+i — 



(w+1 



1 



(2m- 1)1 



TT- 



.. 1 



<80) 2\r;=3 



0, (1-2)'", 



-;2^ 0, 



S ' 

 1 ! .9 ' 



(m-D! s 



^ ^ ' (w-i)! .9 ' ;;/! 6" ' ('iw-l)! 



X)2'«-i_ 



(81) n;-- 



0, 



(l-A-22)'«, P(l-/.2^)™-i, 



0, 



.9 ' 



.9 ' 



1 ! .9 ' 



(-l)'"+\ 



Z)"*~^— 7)'« _ 



{m— 1) ! s ' 7^1 ! ,9 



(7;i— J)! .9 



•;;? ! .9 



1 



i2;»-l)! 



D2 



-il 



§ 1-^- 

 We ure iiow in ;i position to introduce U„ and <S„ into the niulii- 

 plication-formukiß. In some cases, we might have introduced ^'„ 

 rather tlian II,, ; hut, for the .sake of uniformity, we ha\^e chosen those 



