A four dimensional Jensen formula

Alessandro Perotti

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arXiv · 1902.06485

A four dimensional Jensen formula

Alessandro Perotti

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Abstract

We prove a Jensen formula for slice-regular functions of one quaternionic variable. The formula relates the value of the function and of its first two derivatives at a point with its integral mean on a three dimensional sphere centred at that point and with the disposition of its zeros. The formula can be extended to semiregular slice functions.

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Alessandro Perotti. 2019-02-18. A four dimensional Jensen formula. https://arxiv.org/abs/1902.06485

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