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Cauchy integral formula and Plemelj formula of bihypermonogenic functions in real Clifford analysis. (English) Zbl 1177.30061
Summary: In the first part of this article, we give the definition of bihypermonogenic functions in Clifford analysis. Using the idea of quasi-permutation, introduced by S. Huang [J. Syst. Sci. Math. Sci. 18, No.3, 380–384 (1998; Zbl 0928.30030)], we state an equivalent condition for bihypermonogenicity. In the second part, we discuss the Cauchy integral formula and Plemelj formula for the bihypermonogenic functions in real Clifford analysis.
Reviewer: Reviewer (Berlin)

MSC:
30G30 Other generalizations of analytic functions (including abstract-valued functions)
34B05 Linear boundary value problems for ordinary differential equations
31B10 Integral representations, integral operators, integral equations methods in higher dimensions
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