A criterion to justify a holomorphic function

Authors

DOI:

https://doi.org/10.14419/gjma.v5i1.7398

Keywords:

Criterion, Justifying, Holomorphic Function, Differentiability, Partial Derivative, Example.

Abstract

In the paper, the authors present a criterion, free of considering differentiability and any partial derivative, to justify a holomorphic function and illustrate the criterion by several examples.

References

[1] L. V. Ahlfors, Complex analysis: An introduction of the theory of analytic functions of one complex variable, 2nd ed., McGraw-Hill Book Co., New York-Toronto-London, 1966.
[2] Teaching and Research Section of Higher Mathematics at Xi’an Jiaotong University, Complex Functions, 4th ed., Higher Education Press, Beijing, China, 1996. (Chinese)
[3] Y.-Q. Zhong, Theory of Complex Functions, 3rd. ed., Higher Education Press, Beijing, China, 2004. (Chinese)

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Published

28-03-2017

Issue

Vol. 5 No. 1 (2017)

Section

Articles

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How to Cite

Qi, F., & Guo, B. N. (2017). A criterion to justify a holomorphic function. Global Journal of Mathematical Analysis, 5(1), 24-26. https://doi.org/10.14419/gjma.v5i1.7398