Coset of a hypercomplex number system in Clifford analysis
Bull. Korean Math. Soc. 2015 Vol. 52, No. 5, 1721-1728
https://doi.org/10.4134/BKMS.2015.52.5.1721
Printed September 30, 2015
Ji Eun Kim and Kwang Ho Shon
Pusan National University, Pusan National University
Abstract : 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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