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We characterize bicomplex holomorphic functions from several estimates. Originally, Riley \cite{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.
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참고문헌 신청
M. E. Luna-Elizarrar´as / 2016 / On the bicomplex Gleason-Kahane-Zelazko theorem / Complex Anal. Oper. Theory 10(2):327~352
M. E. Luna-Elizarrar´as / 2015 / Frontiers in Mathematics / Birkh¨auser/Springer
Y. Matsui / Generalized self-inversive bicomplex polynomials with respect to the j-conjugation
G. B. Price / 1991 / An introduction to multicomplex spaces and functions / Marcel Dekker, Inc.
J. D. Riley / 1953 / Contributions to the theory of functions of a bicomplex variable / Tohoku Math. J. (2) 5:132~165
M. E. Luna-Elizarrar´as / 2015 / Frontiers in Mathematics / Birkh¨auser/Springer
Y. Matsui / Generalized self-inversive bicomplex polynomials with respect to the j-conjugation
G. B. Price / 1991 / An introduction to multicomplex spaces and functions / Marcel Dekker, Inc.
J. D. Riley / 1953 / Contributions to the theory of functions of a bicomplex variable / Tohoku Math. J. (2) 5:132~165
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