Concept drill
unit-circle
GATE Electronics & Communication · Complex Variables · 2014-2025
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B. S. Grewal — Higher Engineering Mathematics
Linear algebra, calculus, probability, numerical methods
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Which of the following statements involving contour integrals (evaluated counter-clockwise) on the unit circle $C$ in the complex plane is/are TRUE?
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2014 PYQ
Let $${H_1}(z) = {(1 - p{z^{ - 1}})^{ - 1}},{H_2}(z) = {(1 - q{z^{^{ - 1}}})^{ - 1}}$$ , H(z) =$${H_1}(z)$$ +r $${H_2}$$. The quantities p, q, r are real numbers. Consider , p=$${1...
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