Abstract Firstly, some properties for LR-(p,q)-monogenic functions with α-weight valued in a universal Clifford algebra are given. Secondly, the Cauchy-Pompeiu formula for functions valued in a universal Clifford algebra is proved. Finally, a Cauchy integral formula and the Cauchy integral theorem for LR-(p,q)-monogenic functions with α-weight valued in a universal Clifford algebra are given. MR Subject Classification: 30E20, 30E25, 45E05.
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Du et al. (2024) studied this question.
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