A criterion to justify a holomorphic function

  • Authors

    2017-03-28
    https://doi.org/10.14419/gjma.v5i1.7398
  • 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. [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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  • 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

    Received date: 2017-02-23

    Accepted date: 2017-03-26

    Published date: 2017-03-28