• Title/Summary/Keyword: domains of hyperholomorphy

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DOMAINS OF HYPERHOLOMORPHY AND HYPER STEIN DOMAINS ON CLIFFORD ANALYSIS

  • Park, Hee-Young;Shon, Kwang-Ho
    • The Pure and Applied Mathematics
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    • v.14 no.2 s.36
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    • pp.91-98
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    • 2007
  • We give definitions of hyperholomorphic functions of quaternionic functions of two quaternionic variables. We investigate properties of hyperholomorphic functions on quaternion analysis, and obtain equivalence relations for domains of hyperholomorphy and hyper Stein domains in a domain of $C^2{\times}C^2$.

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PROPERTIES OF HYPERHOLOMORPHIC FUNCTIONS IN CLIFFORD ANALYSIS

  • Lim, Su Jin;Shon, Kwang Ho
    • East Asian mathematical journal
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    • v.28 no.5
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    • pp.553-559
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    • 2012
  • The noncommutative extension of the complex numbers for the four dimensional real space is a quaternion. R. Fueter, C. A. Deavours and A. Subdery have developed a theory of quaternion analysis. M. Naser and K. N$\hat{o}$no have given several results for integral formulas of hyperholomorphic functions in Clifford analysis. We research the properties of hyperholomorphic functions on $\mathbb{C}^2{\times}\mathbb{C}^2$.