See analytic continuation on Wiktionary
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"text": "1968, [McGraw-Hill], Granino A. Korn, Theresa M. Korn, Mathematical Handbook for Scientists and Engineers, 2000, Dover, Unabridged republication, page 206,\nThe standard method of analytic continuation starts with a function f(z) defined by its power-series expansion (7.5-4) inside some circle |z-a|=r."
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"ref": "2008, Steven G. Krantz, A Guide to Complex Variables, Mathematical Association of America, page 125:",
"text": "Since there are potentially many different ways to carry out this analytic continuation process, there are questions of ambiguity and redundancy.",
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"text": "Analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example, in a new region where an infinite series representation in terms of which it is initially defined becomes divergent.",
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"ref": "1995, Valentin I. Ivanov, Michael K. Trubetskov, Handbook of Conformal Mapping with Computer-Aided Visualization, CRC Press, page 26:",
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