contour-integral

If $C$ is the unit circle in the complex plane with its center at the origin, then the value of $n$ in the equation given below is _______ (rounded off to 1 decimal place). $$ \oin...

The value of the integral $\rm \oint \left( \frac{6z}{2z^4 - 3z^3 + 7 z^2 - 3z + 5} \right) dz$ evaluated over a counter-clockwise circular contour in the complex plane enclosing o...

Given z = x +iy, i = √-1 C is a circle of radius 2 with the centre at the origin. If the contour C is traversed anticlockwise, then the value of the integral $\frac{1}{2\pi}\int_c\...

Let C represent the unit circle centered at origin in the complex plane, and complex variable, z = x + iy. The value of the contour integral $\oint_C \frac{\cosh 3z}{2z} dz$ (where...

Let z be a complex variable. For a counter-clockwise integration around a unit circle C, centred at origin, $\oint_C \frac{1}{5z-4} dz = A\pi i$, the value of A is