The Wave Generated by a Fine Shtp Bow 
The interpretation of this result will be discussed after we prove that 
it is true. By elementary means, we obtain the following result 
H 
U 
s af 
7 
-H 
at tog +12 - 10) 
z=0 
H 
Ua Ze AZ 
- ge df log (y +f") 
-H 
Oo, ze 2 - 
=—2 E log (H +y )/y' +Hlogy + 2[y cot ‘y/s)-1]. 
The last expression is now broken into several pieces, for each of 
which we obtain the generalized Fourier transform. For the first 
piece, the transform exists even in the classical sense 
so 2 2 a 2 z 
-i H 
fe sly pogo Ty = | dy cos hy log 
i y 
From the point of view of generalized functions, we have the following 
result 
One more integral can be computed readily 
fo evity ly cor Gi) - a | = 2 i dy coshy ly eof (y/H) ~ H| 
¥ 0 
so 
2 yi yH 
= ro Nae 
i i) dy sin Ly (coe u Zo) 
vy S+elt 
1501 
