303 
l 1.3 [?4-q? 1.3.5 + 3la? 
z 22? 22° 
2° Fat” 24 (?—a’)? 2.4.6 (l?—a’)* 
1.3.5.7 3 ‚U +6la' Hat 
Karda Ee) + etc. 
DRR 118 1 185, Pie 
Ne =i 923 ms 4 
Ma Ertan apt a one aay to 
13 138 
24°24 ° (Pe) 
the structure of which is clear. Hence, after multiplication by 
—1 
(/2—a?)—s and expansion of (1 5). the original form becomes: 
8 2l BS 3, ie Ms 
1 8 + 9 ‚), (2: (het —a*) 1 
& Pig | & (Ea 1 a) Fl 
EE OENE RER Ee 
an Gable) niger ge eat) | 
+2 + 
he 14 
1.3.5.7 13 13 
ND tk ej 4 FE: 25 [? P= ra | Pe 
(en wae Hato; PG TP el eG ee A 
ed art (peer ee (ae a)’ RET + etc, 
1.e. 
Pz HP 2+ Piz? + Piaf TEM 
in which A, P,, ete. contain only / and a. Through differentiation 
now arises: 
l—z 1 
(Ae) (Le) 
and likewise: 
l+z 1 
(--2))—ay'h (le) 
so that the difference of these two expressions (c.f. equation (1a)) is 
represented by 
=P, + 2P.2-+ 3Pe* TAP eds 
=P, — 2P et 3P,27+ 4P,2°+..., 
f(2) =AP 2 + 8Pyz? + 12Pjet +... 
After substitution of z—wz for z, we have also: 
J (e—a) = AP, (2z—a) + BP, (z—2)’ + 12P, (e—2#)§4+..., 
and finally the following equation is obtained: 
F:e? = f(z) — flea) = 4P,2 + 8P, (827e#—32z27.4+ £°) + 
+ 12P, (beta 102'a? +... 4+ 2°) + etc, , . (2) 
so that #’ clearly contains the factor xv (see $ 9). 
20* 
