In this paper, we shall investigate some generalized Bohr radius in the non-commutative setting of quaternions. To be precise, two results of Enrico Bombieri are generalized by means of a new idea into the class of slice regular functions over quaternions. As an application, the Bohr radius is determined for p-symmetric slice regular functions over quaternions.

中文翻译：

---

四元数切片正则函数的广义玻尔半径

在本文中，我们将研究四元数在非交换条件下的一些广义玻尔半径。确切地说，Enrico Bombieri的两个结果通过一种新的思想被推广到四元数上的切片正则函数类。作为应用，为四元数上的p对称切片正则函数确定玻尔半径。