A regularity of split-biquaternionic-valued functions in Clifford analysis

Volume 9, Issue 12, pp 6302--6311 http://dx.doi.org/10.22436/jnsa.009.12.32

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Authors

Ji Eun Kim - Department of Mathematics, Pusan National University, Busan 46241, Republic of Korea. Kwang Ho Shon - Department of Mathematics, Pusan National University, Busan 46241, Republic of Korea.

Abstract

We examine corresponding Cauchy-Riemann equations by using the non-commutativity for the product on split-biquaternions. Additionally, we describe the regularity of functions and properties of their differential equations on split-biquaternions. We investigate representations and calculations of the derivatives of functions of split-biquaternionic variables.

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Keywords

• Cauchy-Riemann equations
• regular function
• split-quaternion
• Clifford analysis.

MSC

•  30G35

References

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