Application of slice regularity to functions of a dual-quaternionic variable

被引：0

作者：

Eun, Kim Ji ^{[1
]}

机构：

[1] Dongguk Univ, Gyeongju 38066, South Korea

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2021年 / 13卷 / 02期

关键词：

dual number; quaternion; Cauchy-Riemann equation; slice regular function; Clifford analysis;

D O I：

10.15330/cmp.13.2.298-304

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present the algebraic properties of dual quaternions and define a slice regularity of a dual quaternionic function. Since the product of dual quaternions is non-commutative, slice regularity is derived in two ways. Thereafter, we propose the Cauchy-Riemann equations and a power series corresponding to dual quaternions.

引用

页码：298 / 304

页数：7

共 6 条

[1] Notions of Regularity for Functions of a Split-Quaternionic Variable
Emanuello, J. A.
Nolder, C. A.
CLIFFORD ANALYSIS AND RELATED TOPICS: IN HONOR OF PAUL A. M. DIRAC, CART 2014, 2018, 260 : 73 - 96
[2] A POLAR REPRESENTATION OF A REGULARITY OF A DUAL QUATERNIONIC FUNCTION IN CLIFFORD ANALYSIS
Kim, Ji Eun
Shon, Kwang Ho
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (02) : 583 - 592
[3] A corresponding Cullen-regularity for split-quaternionic-valued functions
Ji Eun Kim
Advances in Difference Equations, 2017
[4] A corresponding Cullen-regularity for split-quaternionic-valued functions
Kim, Ji Eun
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[5] Univalence results for slice regular functions of a quaternion variable
Gal, Sorin G.
Oscar Gonzalez-Cervantes, J.
Sabadini, Irene
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2015, 60 (10) : 1346 - 1365
[6] On some geometric properties of slice regular functions of a quaternion variable
Gal, Sorin G.
Oscar Gonzalez-Cervantes, J.
Sabadini, Irene
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2015, 60 (10) : 1431 - 1455

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