DOMAINS OF HYPERHOLOMORPHY AND HYPER STEIN DOMAINS ON CLIFFORD ANALYSIS
DOMAINS OF HYPERHOLOMORPHY AND HYPER STEIN DOMAINS ON CLIFFORD ANALYSIS
한국수학교육학회지시리즈B:순수및응용수학 / 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
(DEPARTMENT OF MATHEMATICS, COLLEGE OF NATURAL SCIENCES, PUSAN NATIONAL UNIVERSITY)
Shon, Kwang-Ho
(DEPARTMENT OF MATHEMATICS, COLLEGE OF NATURAL SCIENCES, PUSAN NATIONAL UNIVERSITY)
Park, Hee-Young,
&
Shon, Kwang-Ho.
(2007). DOMAINS OF HYPERHOLOMORPHY AND HYPER STEIN DOMAINS ON CLIFFORD ANALYSIS. 한국수학교육학회지시리즈B:순수및응용수학, 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
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quaternion analysis,
Clifford analysis,
hyperholomorphic function,
domain of hyperholomorpy,
hyper Stein domain