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Theory of Complex Variables: Course Outline (MAT-604)

The theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

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Course Outline

  • Harmonic functions.
  • The Riemann mapping theorem.
  • Conformal mappings  for multi-connected domains.
  • Elliptic functions and Picard's theorem.
  • Analytic continuation. Entire functions.
  • Range of an analytic function.
  • Topics in univalent functions and geometric functions theory.
  • Phargmen-Lindelof theorem.
  • Zeros of analytical functions. 
  • Jensen’s formula. 
  • Weirestrass factorization theorem.

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