Al. a. TcnouPROFP 209 
and limit ourselves to the calculation of the terms of order IjN^ in the development 
E{djx; - riXr-,<oy^= S (- iyC4 r> V-i^'(fW)''~-^«'' (43). 
i=() 
In formula (19) of the second Chapter put i\ — r., = ... = Vj = 1, and 
t'j+i = '>']+•! = . • • = r.^i = r ; ^ 
1 
we find for j = 0 : 
E (dp.;r = 1 . 3 . 5 . . . (2i - 1 ) - + . 
for j = 1 : 
E(dfi;f'-' co' = 1.3.5... (2'i - l)/x,+, [fji,, -fjir"']''' + 
When j ^2h: 
.(44). 
p;. 2 (-iy->-n.S.5...{2i-2h-2l-\)Ci.,^f^^-"-' 2 
. - ■ /=(! 
xCj[2//][-^/]].3.5...(2^-2/-l).1.3.5...(2A-2/-l)/.^;VX^y^J 
_ 1 . 3 . .5 . . . {2h - 1 ) . 1 . 3 . .5 . . . (2i - 2// - 1 ) ' ^_ ^ 
1=0 /=() 
X — 7-, , ^, ■ - a . iJL a • /X, 
(/-/)! (2/)! '^•'i'- ^ 'r+il^. 
1 . 3 . .5 . . . ( 2 A - 1 ) . 1 . 3 . 5 . . . ( 2 i - 2/; - 1 ) 
(45). 
X S 
f/ = 0 
Whenj=2/( + l: 
E (d^JLrJ'-"-''-' C0'''' + ' 
= ^ l>'-^-'-' 1 . 3 . 5 . . . (2^ - 2/. - 2^ - 3) /x;^-'"-^'-^ 
X S C ■ [2/i + l][-'-'+»l 1 . 3 . 5 ... (2/ - 2/- 1) . 1 . 3 . 5 ... (2/i - 2f- 1) 
/=(! 
/-/ 2/-+1 h-f 
^ 1.3.5■..(2/^+l)■l ■ 3■5.■■(2^^-2A-l ) ^-'^^ ' (o^o 
/ = 0 /=(l 
^ (Z -7) ! (2/-+ 1 ) \ ^ ' +1 ^ 2 
(46). 
1 .3.5 ...(2/t+ 1). 1 .3.5...(2^-2/t-l) 
jSfi 
A (or ^•-7,-l) 2=^'a'l+' /it-f] [i - A - IJ-fl uj"-' 
