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CHARACTERIZATION THEOREMS OF RILEY TYPE FOR BICOMPLEX HOLOMORPHIC FUNCTIONS

  • Received : 2019.09.14
  • Accepted : 2020.01.16
  • Published : 2020.07.31

Abstract

We characterize bicomplex holomorphic functions from several estimates. Originally, Riley [5] studied such problems in local case. In our study, we treat global estimates on various unbounded domains. In many cases, we can determine the explicit form of a function.

Keywords

References

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  5. J. D. Riley, Contributions to the theory of functions of a bicomplex variable, Tohoku Math. J. (2) 5 (1953), 132-165. https://doi.org/10.2748/tmj/1178245302