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Functional Dependence and Analytic Functions

Published online by Cambridge University Press:  20 November 2018

P. Ramankutty
P. Ramankutty*
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New Zealand
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Abstract

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Without appealing to the Cauchy theorem or its corollaries, it is proved that the real and imaginary parts of a non-constant complex-valued analytic function of several complex variables are functionally independent. This unifies and generalizes some results sporadically treated in standard treatises on function theory.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 3 , 01 September 1979 , pp. 367 - 369
Copyright
Copyright © Canadian Mathematical Society 1979

References

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