as R -* 0, and thus that 



« and « 



9r 9r 9r 9x 9r 9x 



for R/H « 1. Fromi the series expansion of the Bessel function, 



Jj(kr) = |-kr + O(k^r^) 



and thus, -where this expansion is peirnissible in Equation [61], the re- 

 sulting terms are clearly of order fK. However, in the neighborhood of 

 z = 0, the power series expansion is not permissible in the integral over 

 k. It follows that, in the neighborhood of r = R, 



94^7 Sffo.t^ rO r"' 



'2 9f 0,t 



= - K — ^— 



9r 9t 



r I -±— e^^l J (kr)dkdzi 



H •'O 

 + O(fR) 



9f(0,t) C^ 1 



9t 







9f(0,t) f^ Jl(^^) 



S - K — ^— - — dk 



at Jn k 



Sinriilarly, 



= _KJ£i£iil = o(f) 



9t 



8^4; 



— = oil] 



r 9x VR/ 



Thus, on\the body. 



9i|/2 / 9i|ji 



"97 



/ ^^1 \ 



26 



