Darrozes 
still depends upon 7 
It is easy to see that the logarithmic term is an homogeneous solution, 
Then, the expansion of the function @ is 
(P) (p) 
zs 259, @ BO 260 
gt) n/2Log 1 disins + n2p to sgeoss +720(Logesing cos .: O( n 4) 
The same procedure is used to evaluate the following terms, and after 
many computations, the final result is found to be : 
~(1) 
$ Cols) + 2% toy n 280 a ein © 
afPl = ri 
rotfess (e)~ eas so se io 2\ log p 7 sin Ocos0) +d (s)P % sin. Nlog 1° pcos 
ie ) 
+n E sp Sin @- eae 2 (log? p cosO_ end) +c,(s) cos 0 ] 
5! ) 
“The % log n SoH 2054 0(0)5 : O82 
nS p% Se ee ay eu +d,(s)sin "38" 
— Se log P+ eeoi20)(c (s) 50 pee a 
Oe cern er ner ete tina ceesmenr aie 
+O ( n% log n ) 
Ne, ee ey 
Particular solution of the General solution of the 
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non-homogeneous problem 
Following the same argumentation, we investigate now the behaviour 
of the function ®'”) solution of the equation (21 ). 
cag (2) 
2) C(s) ae” 2 376") vcs)  d¢ 
® y 
v2" -inycley BY)? ee Be eve os oe 
22) : gel) agel gall 
With the new coordinates Y= Y/n andZ=(Z-é Zp (s)) /n , and 
using the known expansions 
] 
= + 
SY cal ail, gh nly | 
[)s= it 
+ lg 7e 5 + 2, As) sie 
1750 
