490 ON THE SUMMATION OF SERIES, 
ery wl Vode 4y—1 leh evel 
ey (e-3-z4) rae log. been rf) slga- 
1 
=) *al@—ay— Mey) ~ oie 
w=) (way — aay) ~Elaetay - 
way) +35( ata = Gye) &e &e...(21) 
But Ei. Gat 4 Ey (e-an) = 
(ahs - en) - consequently equation (21) 
will become, 
eo) 
5 1 1 ¥ 1 1 
Me Ne ieee ne ee ] sant es ee 
1 Ges =a) = (ats mi) + 
1 ci ie Sy A Le l 1) S6y, 
qloe-(2=5) a (a3 i) a 
1 )-3 Eee ae )+A l jae 
(4y—U'/  15\(4y—3)' ~ @y—1)') T 63 y—ayp 
1 i l )+4 la 
Gy=1') ~ 15\@y—3y Gus lt) — 33\ 4y—3yP 
1 
ap) = &e., &e. 
=e where = is the circumference of a circle, 
whose radius is unity. (See Lagrange’s Calcul 
des Functions, Legon septime. ) 
