2025/02/28 by Hu, Manjie, Ding, Chao, Shen, Yifei +1
#30G35 #32A30 #44A05 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2502.20737
The theory of generalized partial-slice monogenic functions is considered as a syhthesis of the classical Clifford analysis and the theory of slice monogenic functions. In this paper, we investigate the Cauchy integral formula and the Plemelj formula for generalized partial-slice monogenic functions. Further, we study some properties of the Teodorescu transform in this context. A norm estimation for the Teodorescu transform is discussed as well.