Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2015; 52(5): 1721-1728

Printed September 30, 2015

https://doi.org/10.4134/BKMS.2015.52.5.1721

Copyright © The Korean Mathematical Society.

Coset of a hypercomplex number system in Clifford analysis

Ji Eun Kim and Kwang Ho Shon

Pusan National University, Pusan National University

Abstract

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We give certain properties of elements in a coset group with hypercomplex numbers and research a monogenic function and a Clifford regular function with values in a coset group by defining differential operators. We give properties of those functions and a power of elements in a coset group with hypercomplex numbers.

Keywords: coset, differential operator, monogenic function, regular function, Clifford analysis

MSC numbers: 32W50, 32A99, 30G35, 11E88

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