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Paper detail

A four dimensional Jensen formula

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.

preprint2019arXivOpen access
Alessandro Perotti
math.CV
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Alessandro Perotti

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