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Properties of hyperholomorphic functions on dual ternary numbers

손광호|정현숙
한국수학교육학회|2013.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제20권 제2호|pp. 129-136

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참고문헌

키워드

Clifford analysisternary numberdual number systemhyperholomorphic functioncomplex differential equation
주제분류수학

초록

We research properties of ternary numbers with values in Λ(2). Also, we represent dual ternary numbers in the sense of Clifford algebras of real six dimensional spaces. We give generation theorems in dual ternary number systems in view of Clifford analysis, and obtain Cauchy theorems with respect to dual ternary numbers.

Abstract

We research properties of ternary numbers with values in Λ(2). Also, we represent dual ternary numbers in the sense of Clifford algebras of real six dimensional spaces. We give generation theorems in dual ternary number systems in view of Clifford analysis, and obtain Cauchy theorems with respect to dual ternary numbers.

참고문헌 (17)

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관련 논문AI추천

FUNCTIONS AND DIFFERENTIAL OPERATORS IN THE DUAL REDUCED QUATERNION FIELD손광호, 정현숙영남수학회 · East Asian Mathematical Journal2013 · 제29권 제3호Characterizations of Functions on Dual Octonion Variables in Clifford Analysis손광호, 임수미영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호Properties of regular functions with values in bicomplex numbers김지은, 손광호대한수학회 · 대한수학회보2016 · 제53권 제2호A polar representation of a regularity of a dual quaternionic function in Clifford analysis김지은, 손광호대한수학회 · 대한수학회보2017 · 제54권 제2호DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES김지은, 손광호한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제1호SEDENION FUNCTIONS OF HYPERCOMPLEX VARIABLES IN THE SENSE OF CLIFFORD ANALYSIS박수현, 손광호영남수학회 · East Asian Mathematical Journal2013 · 제29권 제5호

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