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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.14 No.2

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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: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 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 $C^2{\times}C^2$.

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

한국수학교육학회지시리즈B:순수및응용수학

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