# Analytic continuation

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Here we follow Spiegel (1964) ^{[1]} or Levinson and Redheffer (1970). ^{[2]}

In complex analysis we may consider extending the domain of a given function which is analytic in a region
by finding another function analytic in a region . If a region exists such
that and if for all then we say that is *the analytic continuation* of
into .