40 A NEW METHOD OF DETERMINING 
(m) 
Tn -y™and chxY—y™)s 
we get the same expressions for y” and y~”. 
@ (2) 
We see from the values of J,,, J, , ete. found 
+o 
oo) 
Comparing the values of > 
above, that the 
term is 
(m) hinym him+2_jm-+-2 Aim+4 Jm+4 
hr = Sn (2 2-2 SS ete. 
1.2...m 1?.2..m.m--1 V.2?...m.m—+-1.m-+-2 
eee We hin 
ri a ~ Im+1 + 1.2.m+1.m+2 a ete.) 
Further, we have 
I; e 4 (m) ; 
eg —c va(Y—y diy" Shs Oma 
and, by putting m= h—7, 
this becomes 
sa iy 0 yf! 
Let 
+ 0 (h) 
a ae (Oh OP 
| 
ee 
Y= > aatlees neo} 
Multiplying the second of these equations by z~". dg, 
we obtain 
+o (2) 
yz" .dg=> FP, .dg. 
Integrating between the limits + 7 and — a, 
we have 
(7) 1 +7 
PS y- 2%". dg 
Qa —T7 
general 
(14) 
(15) 
(16) 
(17) 
