Mathematics – Complex Variables
Scientific paper
2003-02-14
Mathematics
Complex Variables
17 pages, LaTeX2e
Scientific paper
There are considered vector fields and quaternionic $\alpha$-hyperholomorphic functions in a domain of $R^2$ which generalize the notion of solenoidal and irrotational vector fields. There are established sufficient conditions for the corresponding Cauchy-type integral along a closed Jordan rectifiable curve to be continuously extended onto the closure of a domain. The Sokhotski-Plemelj-type formulas are proved as well.
Gerus Oleg F.
Shapiro Michael
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