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ISSN : 1226-0657

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Vol.14 No.2

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DOMAINS OF HYPERHOLOMORPHY AND HYPER STEIN DOMAINS ON CLIFFORD ANALYSIS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.2, pp.91-98
Park, Hee-Young
Shon, Kwang-Ho
Park,, H. , & Shon,, K. (2007). DOMAINS OF HYPERHOLOMORPHY AND HYPER STEIN DOMAINS ON CLIFFORD ANALYSIS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 14(2), 91-98.

Abstract

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 <TEX>$C^2{\times}C^2$</TEX>.

keywords
quaternion analysis, Clifford analysis, hyperholomorphic function, domain of hyperholomorpy, hyper Stein domain

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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