ExamVeda
Login
Home

The contour integral oint limits text C text e ^ frac...

This question belongs to Engineering Maths Complex Variable
Complex Variable
?

The contour integral $$\oint\limits_{\text{C}} {{{\text{e}}^{\frac{1}{{\text{z}}}}}{\text{dz}}} $$   with C as the counter-clockwise unit circle in the z-plane is equal to

Answer & Solution
Correct Answer: Option C
Let's discuss the solution. Join the discussion
Examveda
Question posted by Examveda
Community

Join the Discussion

No comments yet Be the first to discuss this question.
Keep Learning

Related Questions on Complex Variable

f(z) = u(x, y) + iv(x, y) is an analytic function or complex variable z = x + iy where $${\text{i}} = \sqrt { - 1} ,$$   u(x, y) = 2xy, then v(x, y) may be expressed as
A. -x2 + y2 + constant B. x2 - y2 + constant C. x2 + y2 + constant D. -(x2 + y2) + constant
The product of complex numbers (3 - 2i) and (3 + i4) results in
A. 1 + 6i B. 9 - 8i C. 9 + 8i D. 17 + 6i
If a complex number $${\text{z}} = \frac{{\sqrt 3 }}{2} + {\text{i}}\frac{1}{2}$$   then z4 is
A. $$2\sqrt 2 + 2{\text{i}}$$ B. $$\frac{{ - 1}}{2} + \frac{{{\text{i}}{{\sqrt 3 }^2}}}{2}$$ C. $$\frac{{\sqrt 3 }}{2} - {\text{i}}\frac{1}{2}$$ D. $$\frac{{\sqrt 3 }}{2} - {\text{i}}\frac{1}{8}$$
If C is a circle of radius r with centre z0, in the complex z-plane and if n is a non-zero integer, then $$\oint {\frac{{{\text{dz}}}}{{{{\left( {{\text{z}} - {{\text{z}}_0}} \right)}^{{\text{n}} + 1}}}}} $$   equals
A. 2πnj B. 0 C. $$\frac{{\pi {\text{j}}}}{{2\pi }}$$ D. 2πn
More Related Questions on Complex Variable