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Monogenic Functions with Values in Generalized Clifford Algebras

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Ukrainian Mathematical Journal Aims and scope

Generalized Clifford algebras are constructed by various methods and have some applications in mathematics and physics. We introduce a new type of generalized Clifford algebra such that all components of a monogenic function are solutions of an elliptic partial differential equation. One of our aims is to cover more partial differential equations within the framework of Clifford analysis. We prove some Cauchy integral representation formulas for monogenic functions in these cases.

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Authors and Affiliations

  1. School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam

    D. C. Dinh

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  1. D. C. Dinh
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Correspondence to D. C. Dinh.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 11, pp. 1483–1491, November, 2021. Ukrainian DOI: https://doi.org/10.37863/umzh.v73i11.1033.

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Dinh, D.C. Monogenic Functions with Values in Generalized Clifford Algebras. Ukr Math J 73, 1712–1722 (2022). https://doi.org/10.1007/s11253-022-02025-1

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