Functions of a Complex Variable
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.
KeywordsRiemann Surface Stream Function Conformal Mapping Velocity Potential Laurent Series
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- 1.L. V. Alfohrs, Complex Analysis. McGraw-Hill, New York, New York, 2nd edition, 1966.Google Scholar
- 3.E. T. Copson, Theory of Functions of a Complex Variable. Oxford University Press, Oxford, England, 1962.Google Scholar
- 5.W. Fulks, Advanced Calculus. John Wiley and Sons, New York, New York, 1962.Google Scholar
- 6.J. F. Marsden, Basic Complex Analysis. W. H. Freeman and Company, San Francisco, California, 1975.Google Scholar
- 8.L. M. Milne-Thompson, Theoretical Hydrodynamics. MacMillan, London, England, 4th edition, 1962.Google Scholar