Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis

Ji Eun Kim, Su Jin Lim and Kwang Ho Shon

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

We define a new hypercomplex structure of and a regular function with values in that structure. From the properties of regular functions, we research the exponential function on the reduced quaternion field and represent the corresponding Cauchy-Riemann equations in hypercomplex structures of .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:654798

DOI: 10.1155/2014/654798

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