Functions of a Complex Variable

  • Jon H. Davis
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


In earlier chapters, complex-valued functions appeared in connection with Fourier series expansions. In this context, while the function assumes complex values, the argument of the function is real-valued. There is a highly developed theory of (complex-valued) functions of a complex-valued argument. This theory contains some remarkably powerful results which are applicable to a variety of problems.


Riemann Surface Stream Function Conformal Mapping Velocity Potential Laurent Series 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Jon H. Davis
    • 1
  1. 1.Deparment of Mathematics and StatisticsQueen’s UniversityCanada

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