Abstract
In this paper we study a generalization of Clifford algebra depending on parameters introduced by Tutschke and Vanegas in 2008. We also introduce some related notions, a Cauchy–Pompeiu integral formula, and two boundary value problems for monogenic functions with values in this Cliford algebra.
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22 May 2021
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References
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Acknowledgements
We are grateful to Professor Wolfgang Tutschke for his useful discussion to complete this paper. We are very grateful to the associate editor and referees for their valuable comments which helped us to tremendously improve the presentation of the paper. The research is essentially supported by the Autrian Asea-Uninet Programme.
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Communicated by Heikki Orelma.
To Wolfgang Tutschke on his 87th birthday.
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Cuong, D.V., Son, L.H. Some New Results for Function Theory in Hypercomplex Analysis with Parameters. Adv. Appl. Clifford Algebras 31, 37 (2021). https://doi.org/10.1007/s00006-021-01144-5
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DOI: https://doi.org/10.1007/s00006-021-01144-5
Keywords
- Clifford analysis
- Hypercomplex analysis
- Clifford algebra depending on parameter
- Generalized Clifford algebra
- Function theory in Clifford analysis