
TRANSFORMATION OF INFINITE SERIES, ETC. 469 
whence we find 








eee |? 
C, C, 
a; = 
TB, 
CG 1€.- C, 
C, C, C; 
Tas, G3 | 
—|0 C, C, 
C, C, C; 
“= 
Phe ahi .By BeB;,| 
C, C OOF 145, B, 
0. €} Cy CG, 
Cre. C7 ©: 
1 BB; “B; |? 
Oat By 2by 
OPCs -C; 
Cr CC. 
a= , &e. 
12 By B; i 3, BB, Bi 
(ences) 0<1 BRE. 
(Orn (CR Gr OO “Ci _C,E; 
OCT CC, CE; 
C, C, Cs Cy C; 
Hence, 
1+Ayo+Am+AwFr+.-. 4 nia 
1+ By +By2? + Ba +... ee ae 
V1 ie 
Y2 Ye x 
V1Ys Ys” iy 
nae oye 
Yas 
x 
=1402 yp .. (A) 
Df ara iy ma Yost 
where y; is written for C,, y. for 

jak 18} 
‘oO, C, , ys for the corresponding determinant 
of the third order, &c., and C, stands for A,—B,, C, for A,—B,, &c. 
