切片正则函数的Phragmén-Lindelöf原理
A Phragmén - Lindelöf principle for slice regular functions
摘要：
著名的100岁的Phragmen-Lindelof原则是一个深远的推广最大模定理的全纯函数的一个复变数。在最近的一些论文中，人们对这种类型的超复变量函数和合适的偏微分方程的解的原理又重新产生了兴趣。本文给出了片正则函数的一个Phragmen-Lindelof原理。片正则函数是最近引进的一类四元数值函数。
英文摘要：
The celebrated 100-year old Phragmen-Lindelof principle is a far reaching extension of the maximum modulus theorem for holomorphic functions of one complex variable. In some recent papers there has been a resurgence of interest in principles of this type for functions of a hypercomplex variable and for solutions of suitable partial differential equations. In the present article we obtain a Phragmen-Lindelof principle for slice regular functions, a class of quaternion-valued functions of a quaternionic variable which has been recently introduced.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
