GATE Engineering Mathematics: Complex Variables: Analytic functions, Cauchy-Riemann equations, integral theorem, Taylor and Laurent series – Previous Year Questions
5 GATE previous year questions on Complex Variables: Analytic functions, Cauchy-Riemann equations, integral theorem, Taylor and Laurent series (Engineering Mathematics, Mechanical Engineering) with answers and explanations, from every paper.
- GATE 2022 ME (ME1) Q36 – The value of the integral (6z2z4 - 3z3 + 7z2 - 3z + 5)dz evaluated over a counter-clockwise circular contour in the complex plane enclosing only the…
- GATE 2023 ME Q33 – The value of k that makes the complex-valued function f(z) = e-kx( 2y - i 2y) analytic, where z = x + iy, is . (Answer in integer)
- GATE 2024 ME Q13 – Let f(z) be an analytic function, where z = x + iy. If the real part of f(z) is x y, and the imaginary part of f(z) is zero for y = 0, then f(z) is
- GATE 2025 ME Q45 – 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…
- GATE 2026 ME Q36 – If w = e z = e(x + iy), where i = -1, then which one of the following statements is correct?