Art. 7.— K. Terazawa : 



U-U^= Y, 

 then combining the equations (8) and (li) we have 



(5?- T Tir Tiz^ r" 1^ 



Tlie-e equations suggest tliat X and Y vaiy as Jm+\ {hr) and 

 Jm-~i(kr) respectively with regard to r, and they can l:)e solved 

 in a manner similar to the equation (10), The result is 



^ A II. I 



Em and Fm being arbitrary constants. Writing 



■E,-F,„ = 1B„„ 

 and simplifying, we have 



"Ifj. kr \- kr -J 



Thus we have a system of solutions: — 

 J = CJ„ikr)e-'''co^md, 



{ ['^^^'^^'"''"^"G '^'"(A-r) + .-l.^J".(Äv) Y'-co^md 

 II. = - { ^'^ C,„z -D„ \j,„{kry cos m 6. 



e~^ smmu, 



) (12) 



