Differentiability of pseudo-dual-quaternionic functions with a differential operator

Volume 11, Issue 11, pp 1235--1242 http://dx.doi.org/10.22436/jnsa.011.11.03

Publication Date: August 17, 2018 Submission Date: February 09, 2018 Revision Date: August 04, 2018 Accteptance Date: August 06, 2018

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Authors

Ji Eun Kim - Department of Mathematics, Dongguk University, Gyeongju-si 38066, Republic of Korea.

Abstract

This paper introduces the new concept of pseudo-dual-quaternions and some of their basic properties based on matrices. We extend the concept of differentiability to pseudo-dual-quaternionic functions. Also, we propose a corresponding Cauchy-Riemann formulas induced the properties of a holomorphic function of pseudo-dual-quaternionic variables.

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Keywords

• Dual-quaternion
• differential operators
• differentiability
• Cauchy-Riemann formulas

MSC

•  32A99
•  32W50
•  30G35
•  11E88

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