Analytic continuation is a process of extending the domain of a function F(z) beyond an open region R1 to an open region R2. Let R1 and R2 be open regions in the complex plane such that a function F(z) is represented by f1(z) in R1 and f2(z) in R2. Let there be a set of points that is common to both R1 and R2 called R12. Then R1 and R2 are said to overlap in this region.
KeywordsClosed Form Unit Circle Real Axis Analytic Continuation Gamma Function
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