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Canadian Mathematical Bulletin
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Canadian Mathematical Bulletin
Article . 1979 . Peer-reviewed
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https://dx.doi.org/10.4153/cmb...
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Functional Dependence and Analytic Functions

Functional dependence and analytic functions
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1979 English Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 22, pages 367-369 (issn: 0008-4395, eissn: 1496-4287, Copyright policy )
Authors: Ramankutty, P.;

doi: 10.4153/cmb-1979-047-7

Functional Dependence and Analytic Functions

Abstract

AbstractWithout 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.

Related Organizations
Keywords

analytic functions, Holomorphic functions of several complex variables, functional dependence

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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