Consider the open set C{0}, which is not simply connected, and for each E C...
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Consider the open set C\{0}, which is not simply connected, and for each À E C the holomorphic function fi(z) = ( ½ + 4) e²². The Cauchy Residue Theorem implies that there is a unique value λo of λ such that Jy J, (z) dz = 0 for every closed contour Y C C\{0}. Which of the following statements is correct? Select one: A0 = 0 but fo(z) does not have a primitive Fo(z) on C\{0}. Ao = -2 but f-2(z) does not have a primitive Fo(z) on C\{0}. Ao = 0 and fo(z) has primitive Fo(z) on C\{0} with Laurent expansion around 0 € C beginning +1+... 20 = -2 and f-2(z) has a primitive Fo(z) on C\{0} with Laurent expansion around 0 EC beginning 1-2-3+. None of the others 20 = 1 and fo(z) has primitive F₁(z) on C\{0} with Laurent expansion beginning - ²/2 + 2πi + .... Consider the open set C\{0}, which is not simply connected, and for each À E C the holomorphic function fi(z) = ( ½ + 4) e²². The Cauchy Residue Theorem implies that there is a unique value λo of λ such that Jy J, (z) dz = 0 for every closed contour Y C C\{0}. Which of the following statements is correct? Select one: A0 = 0 but fo(z) does not have a primitive Fo(z) on C\{0}. Ao = -2 but f-2(z) does not have a primitive Fo(z) on C\{0}. Ao = 0 and fo(z) has primitive Fo(z) on C\{0} with Laurent expansion around 0 € C beginning +1+... 20 = -2 and f-2(z) has a primitive Fo(z) on C\{0} with Laurent expansion around 0 EC beginning 1-2-3+. None of the others 20 = 1 and fo(z) has primitive F₁(z) on C\{0} with Laurent expansion beginning - ²/2 + 2πi + ....
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ser 12 1 3 2 Z3 20 is the only singular point of FZ of order ... View the full answer
Related Book For
Business Statistics in Practice
ISBN: 978-0077404741
6th edition
Authors: Bruce Bowerman, Richard O'Connell
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