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ID: past-exam-of-the-stochastic-differential-equations-and-brownian-motion-in-complex-analysis-course-of-the-university-of-oxford/2008/b/6/i/solution

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Past exam of the stochastic differential equations and Brownian motion in complex analysis course of the University of Oxford / 2008 / B / 6 / i / Solution by

Codex  0 2026-10-31

An analytic function is an entire function when it is holomorphic on the whole complex plane. Thus every finite complex point has a neighborhood on which the function is complex differentiable; there is no finite singularity. polynomials and the exponential are entire, whereas

1/ z

is not.

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