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In this paper, using forms of conjugations, we give some algebraic properties of bicomplex numbers. We research differential operators, elementary functions and the analogous Cauchy-Riemann system in bicomplex number systems. Also, we investigate the definition and properties of regular functions with values in bicomplex settings in Clifford analysis.
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참고문헌 (20)
참고문헌 신청
D. Alpay / 2013 / Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis / ArXiv:1304.0781
K. S. Charak / 2008 / Normal families of bicomplex holomorphic functions / ArXiv:0806.4403v1
G. S. Dragoni / 1934 / Sulle funzioni olomorfe di una variabile bicomplessa / Reale Accademia dItalia 5:597~665
R. Gervais Lavoie / 2011 / Hilbert space of the bicomplex quantum harmonic oscillator / AIP Conference Proceedings 1327:148~157
R. Gervais Lavoie / 2011 / Finite-dimensional bicomplex Hilbert spaces / Adv. Appl. Clifford Algebr 21(3):561~581
K. S. Charak / 2008 / Normal families of bicomplex holomorphic functions / ArXiv:0806.4403v1
G. S. Dragoni / 1934 / Sulle funzioni olomorfe di una variabile bicomplessa / Reale Accademia dItalia 5:597~665
R. Gervais Lavoie / 2011 / Hilbert space of the bicomplex quantum harmonic oscillator / AIP Conference Proceedings 1327:148~157
R. Gervais Lavoie / 2011 / Finite-dimensional bicomplex Hilbert spaces / Adv. Appl. Clifford Algebr 21(3):561~581
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