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Some new results for function theory in hypercomplex analysis with parameters. (English) Zbl 1468.30084

Summary: In this paper we study a generalization of Clifford algebra depending on parameters introduced by W. Tutschke and C. J. Vanegas [in: Some topics on value distribution and differentiability in complex and \(p\)-adic analysis. Beijing: Science Press., 430–450 (2008; Zbl 1232.30034)]. We also introduce some related notions, a Cauchy-Pompeiu integral formula, and two boundary value problems for monogenic functions with values in this Clifford algebra.

MSC:

30G35 Functions of hypercomplex variables and generalized variables
30E25 Boundary value problems in the complex plane

Citations:

Zbl 1232.30034
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References:

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