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Hayman Theorem in \({\mathcal {R}}_+^{n+1}\) with the Clifford Analysis Setting

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Abstract

The Hayman Theorem of left-monogenic function in a Clifford Analysis Setting is established in this article. A few established conclusions regarding subharmonic functions in Euclidean half space are extended to Clifford half space.

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Acknowledgements

This work was supported by the National Science Foundation of China (No. 11971042), University of Macau (MYRG2019-00039-FST), (MYRG2022-00108-FST), Science and Technology Development Fund, Macao S.A.R (FDCT/0036/2021/AGJ).

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Correspondence to Yan Hui Zhang.

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Communicated by Uwe Kaehler.

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Zhang, Y.H., Wen, W. & Kou, K.I. Hayman Theorem in \({\mathcal {R}}_+^{n+1}\) with the Clifford Analysis Setting. Adv. Appl. Clifford Algebras 33, 16 (2023). https://doi.org/10.1007/s00006-023-01260-4

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  • DOI: https://doi.org/10.1007/s00006-023-01260-4

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