Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Engineering Mathematics Complex Variables Singularities
Consider a function F(z) = \(\int_1^2\frac1{(x-z)^2}dx\), Im(z) > 0. Then there is a meromorphic function G(z) on \(\mathbb C\) that agrees with F(z) when Im(z) > 0 such that
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1, ∞ are poles of G(z)
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0, 1, ∞ are poles of G(z)
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1, 2 are poles of G(z)
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1, 2, ∞ are poles of G(z)
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