PARTICULARLY THOSE OE TWO VARIABLES. 
827 
where 
^ 2 =c 2 “ 21(^2, o> ^>2, i> ® 2 , vY"^ • • • 
(N,, 0) K tt N W . . N 2 ,„ . . N 2 , 2 »X®, yr+ . ( 133 ), 
c 2 =A 1 .KjAy.( 134 ), 
and 
/tt\% d* 
N 2,2»=(k) (a/ dp'*-‘ W‘ C * 
N _rM/^Y ( “' s Y^Y (!+1, _A!L_ A K » A y 
. . (135), 
. . (136). 
$3— C 3 —2 .( B 3,0. B 3 ,i, B 3i2 X®, 2/)“+ • 
+^f(N 3 ,o,N 3il ,N 3 , 2 ,. 
where 
., N s ,„ .. N 3 i2 „X«, yf“+ 
c 3 =A 1 .K*c 4 Ay 
• • (137), 
. . (138), 
n , ,,=izT‘~ ,) (”Y - t ~~7 /. Oc 
S' 3 * \K/ \A j 
. T /KA/iry<»-‘>Ar\**+ 1 > d“ +1 , rfJil , 
N 3,3«+l— ^ ( K ) (a) dp'’‘-’dq”^' K ' Ay ' 
. . (139), 
. . (140). 
'll— c i 2 iTa ,01 B 4i1 , Bj ^X-^j 2/)"4* • • • 
where 
+yf(N 4 , 0 , N 4 „ N m , . . ., N liS ,. . ., N^X*, yf+ . . . (141), 
c 4 =A 1 .K*o'*A* .(142), 
„ / 7T \ 2(w — *)/ tj* \ 2-7 (I'd 
JN * S * = \K/ \A/ d.p h ‘-dlq'fi' i 
(143), 
N. 0.., = gY < ’‘~ ,) ^r +1 > . / ■ ?i... A„.KV*A* 
tt 3 \K/ U/ dp r,l ~ s dq u+l 
. . (144). 
