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Analytic Continuation

Basic definition

Analytic continuation is a way of extending the domain over which a complex function is defined.

Detailed definition

Analytic continuation (sometimes called simply "continuation") provides a way of extending the domain over which a complex function is defined. The most common application is to a complex analytic function determined near a point z_0 by a power series f(z) = sum_(k = 0)^∞ a_k (z - z_0)^k.

Related terms

analytic function | branch cut | branch point | continuity principle | direct analytic continuation | global analytic continuation | monodromy theorem | multivalued function | natural boundary | permanence of algebraic form | Schwarz reflection principle

Educational grade level

graduate school level

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