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Analytic Continuation

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

Analytic continuation is a graduate-level concept that would be first encountered in a complex analysis course.

Prerequisites

Analytic Function: An analytic function is a complex function that is complex differentiable at every point in a region.
Complex Number: A complex number is a number consisting of a real part and an imaginary part. A complex number is an element of the complex plane.
Complex Plane: The complex plane is a term for the set of all complex numbers. Just as all real numbers can be imagined as lying on a line, all complex numbers can be thought of as points in a plane.

Classroom Articles on Complex Analysis (Up to Graduate Level)

  • Complex Analysis
  • Riemann Sphere
  • Conformal Mapping
  • Riemann Surface
  • Pole
  • Singularity