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COSET OF A HYPERCOMPLEX NUMBER SYSTEM IN CLIFFORD ANALYSIS

김지은|손광호
대한수학회 (The Korean Mathematical Society)|2015.09|대한수학회보 (Bulletin of the KMS)|제52권 제5호|pp. 1721-1728

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참고문헌

키워드

Clifford analysisregular functioncosetdifferential operatormonogenic function
주제분류수학

초록

We give certain properties of elements in a coset group with hypercomplex numbers and research a monogenic function and a Clifford regular function with values in a coset group by defining differential operators. We give properties of those functions and a power of elements in a coset group with hypercomplex numbers.

Abstract

We give certain properties of elements in a coset group with hypercomplex numbers and research a monogenic function and a Clifford regular function with values in a coset group by defining differential operators. We give properties of those functions and a power of elements in a coset group with hypercomplex numbers.

참고문헌 (12)

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  7. J. E. Kim, "Regular functions with values in ternary number system on the complex Clifford analysis", Abstr. Appl. Anal, 2013, pp.7~ (2013)
  8. J. E. Kim, "Regularity of functions on the reduced quaternion field in Clifford analysis", Abstr. Appl. Anal, 2014, pp.8~ (2014)
  9. J. E. Kim, "The Regularity of functions on dual split quaternions in Clifford analysis", Abstr. Appl. Anal, 2014, pp.8~ (2014)
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관련 논문AI추천

Properties of regular functions with values in bicomplex numbers김지은, 손광호대한수학회 · 대한수학회보2016 · 제53권 제2호SEDENION FUNCTIONS OF HYPERCOMPLEX VARIABLES IN THE SENSE OF CLIFFORD ANALYSIS박수현, 손광호영남수학회 · East Asian Mathematical Journal2013 · 제29권 제5호FUNCTIONS AND DIFFERENTIAL OPERATORS IN THE DUAL REDUCED QUATERNION FIELD손광호, 정현숙영남수학회 · East Asian Mathematical Journal2013 · 제29권 제3호DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES김지은, 손광호한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제1호RELATIONS BETWEEN QUATERNIONIC DIFFERENTIAL AND THE CORRESPONDING CAUCHY RIEMANN SYSTEM강한울, 김민지, 손광호영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호Properties of hyperholomorphic functions on dual ternary numbers손광호, 정현숙한국수학교육학회 · 이론수학과 교직수학2013 · 제20권 제2호

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