The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge

cayley, arthur; forsyth, andrew russell

128 
ON THE SUMS OF CERTAIN SERIES &C. 
[187' 
(-> 
2^-H {(/3 +1)^+1 -(-)* (/3 - I) 3 '-* 1 } + (J& - 1)^+1 
2^ (£* _ 1)2M (£2 + 3 ) 
+i > [ - —2 -+<-) ,(< ‘- t « 8g 8::^+i +1) *■*•••} ■ (17) 
2 3 *+ 2 {(+ 1) 3 *+ 2 + (-Y (¡3 - l) 3 ^ 2 } + (/3 2 - I) 3 ** 2 
1 ' 2 2 ^ (/8 2 —1) 2 (/3 2 + 3) 2 
(Sa + 2) f^ +1 - (^ + 3 ) (/*+ 2 )(M+ 1)/x , v 9 Q + 2ff+l)...Q-(y + l) | 
^ 2 2.3.4.5 •‘ , + ( j 2.3...(3^ + 2) * •"}' 
all of them continued up to q = /u. 
2, $£cme Buildings, 1st April, 1857.