Panharmonic Functions: Mean Value Properties and Related Topics

被引：0

作者：

Kuznetsov N. ^{[1
]}

机构：

[1] Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, RAS, V.O., Bol’shoy pr. 61, St Petersburg

来源：

Journal of Mathematical Sciences | 2023年 / 269卷 / 1期

关键词：

D O I：

10.1007/s10958-023-06254-y

中图分类号：

学科分类号：

摘要：

Recently obtained results about m-dimensional panharmonic functions, i.e., solutions to the modified Helmholtz equation, are presented in a systematic form. They concern various mean value properties. Their corollaries are considered along with converse and inverse of these properties, and relations between panharmonic and harmonic functions. © 2023, Springer Nature Switzerland AG.

引用

页码：53 / 76

页数：23

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