Characterization theorems of Riley type for bicomplex holomorphic functions
Commun. Korean Math. Soc.
Published online March 10, 2020
Yutaka MATSUI and Yuhei SATO
Kindai University
Abstract : We characterize bicomplex holomorphic functions from several estimates. Originally, Riley 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 : Bicomplex analysis, Hypercomplex analysis, Riley's value
MSC numbers : 30G35, 32D20
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