A Dirichlet type problem for complex polyharmonic functions

被引：0

作者：

H. Grzebuła

S. Michalik

机构：

[1] Cardinal Stefan Wyszyński University,Faculty of Mathematics and Natural Sciences, College of Science

来源：

Acta Mathematica Hungarica | 2017年 / 153卷

关键词：

Dirichlet problem; polyharmonic function; Almansi expansion; Lie ball; 31B30; 32A25; 32A50; 35J40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We extend holomorphically polyharmonic functions on a real ball to a complex set being the union of rotated balls. We solve a Dirichlet type problem for complex polyharmonic functions with the boundary condition given on the union of rotated spheres.

引用

页码：216 / 229

页数：13

共 6 条

[1]

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[2]

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[3]

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[4]

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Morimoto M.(1980)Analytic functionals on the Lie sphere Tokyo J. Math., 3 1-35

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