논문KCI 등재
Exponential form of biquaternionic variables in Clifford analysis
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We give expressions of a biquaternion and research operations and calculations of each form of a biquaternion. Also, we investigate representations and properties of exponential and trigonometric forms of a biquaternion.
Abstract
We give expressions of a biquaternion and research operations and calculations of each form of a biquaternion. Also, we investigate representations and properties of exponential and trigonometric forms of a biquaternion.
참고문헌 (17)
- S. D. Leo, "A New Definition of Hypercomplex Analyticity", arXiv:funct-an, 1997
- S. D. Leo, "Hypercomplex Group Theory", arXiv:physics, 1997
- J. D. E. Grant, "Hypercomplex Integrable Systems", Nonlinearity, 12(5), pp.1247~1261 (1999)
- J. Kajiwara, "Function spaces in complex and Cliord analysis", Inhomogeneous Cauchy Riemann system of quaternion and Clifford analysis in ellipsoid, 14, pp.127~155 (2006)
- D. Kaledin, "Integrability of the twistor space for a hypercomplex manifold", Selecta Math. (N.S.), 4(2), pp.271~278 (1998)
- J. E. Kim, "Regular functions with values in ternary number system on the complex Clifford analysis", Abstr. Appl. Anal, 2013, pp.7~ (2013)
- J. E. Kim, "Regularity of functions on the reduced quaternion field in Cliord analysis", Abstr. Appl. Anal, 2014, pp.8~ (2014)
- J. E. Kim, "Polar Coordinate Expression of Hyperholomorphic Functions on Split Quaternions in Clifford Analysis", Adv. Appl. Clifford Algebr, 25(4), pp.915~924 (2015)
- J. E. Kim, "The Regularity of functions on Dual split quaternions in Clifford analysis", Abstr. Appl. Anal, 2014, pp.8~ (2014)
- 김지은, "COSET OF A HYPERCOMPLEX NUMBER SYSTEM IN CLIFFORD ANALYSIS", 대한수학회보, 52(5), pp.1721~1728 (2015), 대한수학회
- J. E. Kim, "Inverse mapping theory on split quaternions in Clifford analysis", Filomat (2016)
- 김지은, "Properties of regular functions with values in bicomplex numbers", 대한수학회보, 53(2), pp.507~518 (2016), 대한수학회
- S. Olariu, "Hyperbolic complex numbers in two dimensions", math.CV, 2000
- S. Olariu, "Complex numbers in n dimensions", arXiv:math, 2000
- L. Ornea, "On some Moment Maps and Induced Hopf Bundles in the Quaternionic Projective Space", Internat. J. Math, 11(7), pp.925~942 (2000)
- M. Verbitsky, "Hypercomplex varieties", arXiv:alg-geom, 1997
- E. T. Whittaker, "A Course of Modern Analysis" (1958), Cambridge Univ. Press
이 간행물의 다른 논문 (21건)
Galois irreducible polynomials권미연, 이지은, 이기석pp. 1-6Extended zero-divisor graphs of idealizationsJilali Mikram, Fouad Taraza, Driss Bennispp. 7-17Invo-clean unital ringsPeter V. Danchevpp. 19-27Certain integrals associated with generalized Mittag-Leffler functionShilpi Jain, Praveen Agarwal, 최준상, Mohammad Mehdi Rashidipp. 29-38Convergence of a new multistep iteration in convex cone metric spacesBirol Gunduzpp. 39-46
