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A Generalization of Fueter’s Theorem

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Abstract.

Fueter’s Theorem on the construction of monogenic quaternionic functions starting with a holomorphic function in the upper half of the complex plane, is further generalized in a Clifford analysis setting. The result obtained contains previous generalizations as special cases.

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Authors and Affiliations

  1. Clifford Research Group, Department of Mathematical Analysis, Ghent University, Galglaan 2, 9000, Gent, Belgium

    Dixan Peña Peña & Frank Sommen

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  1. Dixan Peña Peña
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  2. Frank Sommen
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Correspondence to Dixan Peña Peña.

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Peña, D.P., Sommen, F. A Generalization of Fueter’s Theorem. Result. Math. 49, 301–311 (2006). https://doi.org/10.1007/s00025-006-0226-0

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  • DOI: https://doi.org/10.1007/s00025-006-0226-0

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