A four dimensional Jensen formula
Complex Variables
2022-04-26 v1
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.
Cite
@article{arxiv.1902.06485,
title = {A four dimensional Jensen formula},
author = {Alessandro Perotti},
journal= {arXiv preprint arXiv:1902.06485},
year = {2022}
}
Comments
Accepted for publication on Riv. Mat. Univ. Parma