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Question: a contour integral

Question:a contour integral

IceQueen 33 Maple
integral
April 29 2010
0

Hi,

I try to calculate a contour integral(in fact it is the contour integral defined in the principle argument theorem) with a function that was given in my earlier entry here

y:=2.0;W:=(2^(z+3/2)*Pi)/(GAMMA(-z/2)*GAMMA(1/2-z/2)):V:=1.0;
  f:=1+((abs(V))^2/W^2)*(CylinderD(z,y)^2)*(CylinderD(z,-y)^2-CylinderD(z,y)^2);
 

I try to use this f in this contour integral as:

phi:=t→exp(I*t);

g:=(diff(f(phi(t)),t)/f(phi(t))) * diff(phi(t),t);

here I give f ` (z)/f(z) is g. And

 

int(1/(2*P*I)*g,t=0..2*Pi)

but this integral cannot be evaluated...

(it can be related to the first argument of Cylinder functions again..)
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