Recovering holomorphic functions from their real or imaginary parts without the Cauchy-Riemann equations

SIAM Review

Volumn 46, Issue 4, 2004, Pages 717-728

  Shaw, William T ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Cauchy Riemann equations; Complex analysis; Computer algebra

Indexed keywords

ALGEBRA; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS;

CAUCHY-RIEMANN EQUATIONS; COMPLEX ANALYSIS; COMPUTER ALGEBRA;

NUMERICAL ANALYSIS;

EID: 11344253565     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036144503432151     Document Type: Article

References (8)

1. M. J. Ablowitz and A. S. Fokas, Complex Variables, Introduction and Applications, 2nd ed., Cambridge Texts Appl. Math., Cambridge University Press, Cambridge, UK, 2003.
2. L. V. Ahlfors, Complex Analysis, 3rd ed., McGraw-Hill, New York, 1979.
3. J. B. Conway, Functions of One Complex Variable, 2nd ed., Grad. Texts in Math. 11, Springer, New York, 1978, 1995.
4. J. Ockendon, S. Howison, A. Lacey, and A. Movchan, Applied Partial Differential Equations, revised ed., Oxford University Press, Oxford, 2003.
5. W. Rudin, Principles of Mathematical Analysis, McGraw-Hill, New York, 1976.
6. W. T. Shaw, Complex Analysis with Mathematica, Cambridge University Press, Cambridge, UK, forthcoming, 2005.
7. M. Spiegel, Theory and Problems of Complex Variables, Schaum's Outline Series, McGraw-Hill, Singapore, 1981.
8. S. Wolfram, The Mathematica Book, 5th ed., Wolfram Media, Champaign, IL, 2004.