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23-05-2023
Mathematics

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Let U § C be a region containing D(0; 1) and let f be a meromorphic function on U, which
has no zeros and no poles on dD (0;1). If f has a zero at 0 and if Ref (z) > 0 for every
ZE AD (0;1), show that f has a pole in D(0; 1).

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