Some New Results for Function Theory in Hypercomplex Analysis with Parameters

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作者
Dao Viet Cuong
Le Hung Son
机构
[1] University of Transport and Communications,
[2] Hanoi University of Science and Technology,undefined
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关键词
Clifford analysis; Hypercomplex analysis; Clifford algebra depending on parameter; Generalized Clifford algebra; Function theory in Clifford analysis; Primary 30G35; Secondary 35F15; 35J67; 31B20;
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摘要
In this paper we study a generalization of Clifford algebra depending on parameters introduced by Tutschke and Vanegas in 2008. We also introduce some related notions, a Cauchy–Pompeiu integral formula, and two boundary value problems for monogenic functions with values in this Cliford algebra.
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