A criterion to justify a holomorphic function

 
 
 
  • Abstract
  • Keywords
  • References
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  • 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.

  • Keywords


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

  • 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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Article ID: 7398
 
DOI: 10.14419/gjma.v5i1.7398




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