Log-biharmonicity and a Jensen formula in the space of quaternions
Log-biharmonicity and a Jensen formula in the space of quaternions
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DOI：
10.5186/aasfm.2019.4447
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发表时间：
2017-08
期刊：
影响因子：
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通讯作者：
A. Altavilla;C. Bisi
中科院分区：
文献类型：
--
作者：
A. Altavilla;C. Bisi
Given a complex meromorphic function, it is well defined its Riesz measure in terms of the laplacian of the logarithm of its modulus. Moreover, related to this tool, it is possible to prove the celebrated Jensen formula. In the present paper, using among the other things the fundamental solution for the bilaplacian, we introduce a possible generalization of these two concepts in the space of quaternions, obtaining new interesting Riesz measures and global (i.e. four dimensional), Jensen formulas.
