60 PROCEEDINGS OP SECTION A. 



Hence uialving n = \, k = 1 in integral (23) we have- 



= s(«'0 



O/i \) ^ 



cor +-(:)] B^+K^)i.r-<-> 



If in equation (^J) above, we pnt — 



u = xr ^ r= y , m; = ^5 , theu- 

 a- o'^ c^ 



J*/'/* » — 1/^2 ,,2 -,2\'^ 



jj(.^+,.+.^) (^,+.^, + ?,)r... (82) 



or. wben » = 2, 



+ 4 j;p +,»+.') (f. + -f;; +::) -i^- -(33) 



Using integrals 3 and 28, we obtain- 



-..(1) [{..or +-(-)]£ 



//-: 





(34) 



Hence making « = 2, k = 1 in (26), we obtain — 



If ID equation {A) we make — 



u = a^x, V = h*}i, 10 ^c^z, 

 the — 



4J^ 

 63' 



(35) 



From integral (1) J i pr^ d S = -^ {a") V, we also have- 



i'j>H"J'''(::+-i'+:-:)^^=''^- 



(36) 



