62 
ME. T. Y. BAKER AND PROF. L. N. G. FILON : LONGITUDINAL 
E ’ = 8l^ 
15 (n*-n+ l ) / 5 (/i +/ 3 ) , (■n+1) 2 f lOn 15(n 2 -n+l) jm 
///a 2 n 4 7 l/^ 2 + /!»/, /i 4 
/ 3 f 6 (n 3 + 3n 2 + n) 12 (n 4 + n 2 +1) + 4 (n + 1 ) 4 
1 y ;/ 3 2 a 2 a 
, 4(n+l) 4 + 2(n 4 + n 2 +l ) (n 3 +3n 2 + n)f 3 
f 2 \6n 2 6 (n+ 1) 2 (n 2 + n+ 1) 8 (n+ l) 2 (n 2 + n+ 1) 
n 2 \f 2 + 
A* 
fifz 
fi 2 
+ 
[n + 1 ) 2 (n 2 + 3n +1 )f 3 } 
ft 5 J 
_ f [ An {n+ l) 2 + n 3 —n 2 + n 2 (n+ l) 4 + 2 [n 2 -\-n + l) (n 2 +3n+ l) 
" l /a A 
2 (w 2 + n + 1) (n 2 + 3n +1 )/ 3 ) 
" 7 ? J 
+ 
+ n {( n+ l) 2 +4 ( n 2 + n+ l)} + (n+ l) 2 (n 2 + 3n+ l)*4 
A 
-n‘ 
(n 2 + 3n+1)^~ 
J \_ 
E 3 = 
3 
8 (n— l) 4 
’0 (n a -n+ 1) f\A +A) , ( n+ l) 2 « f 10n / J_ J_' 
n 4 fm + n 4 7 i/a/A/ 2 y;r/ 
+ 
20 (n 2 —7i+ 1 
/i 7 
3 J 
+4W4 + & 
n 
yy /i 
' 1 1 \ 12(»H-1) 2 (»i 3 + w+ 1)\ 
a 2 a 2 ) ,y 3 
/i/a J 
/ A„ (n+1)’(4 + A + [(«+!)< 
V 
v / 3 3 y; : 
+ 4 (n 2 + n+1) (w 2 + 3n + l)] (~ +-^ 
vi y 3 /j 
+ 4w(?i 2 +w + l) (-y! +*4')+ 2 (n+1) 2 (?i 2 +3n+ l) 
v3 yy 
— 2/d (n + l) 2 {A l ^A ) _j_ 2n 4 7A 
E 4 = E 2 with /j and y 3 interchanged. 
E 5 = Ej 
35 33 33 33 
F — TC 
J - J 6 J - i 0 3 3 3 3 
3 3 3 3 
