论文标题
双色多谐度和多形的多态度
Bicomplex polyharmonicity and polyholomorphy
论文作者
论文摘要
在本文中，我们关注的是众所周知的结果的双色类似物，认为实现的谐波函数（在简单地连接的域上）是全态函数的实际部分。我们表明，这个断言（单词）的断言失败了BC谐波函数，并且我们提供了BC谐波函数的完整表征，BC-Harmonic函数是特定类型的BC三晶函数的双曲线真实部分。此外，我们将结果扩展到双色多结功能，这意味着引入了特定类别的BC多形性函数。
In this paper, we are concerned with the bicomplex analog of the well-known result asserting that real-valued harmonic functions, on simply connected domains, are the real parts of holomorphic functions. We show that this assertion, word for word, fails for bc-harmonic functions and we provide a complete characterization of bc-harmonic functions that are the hyperbolic real parts of a specific kind of bc-holomorphic functions. Moreover, we extend the result to bicomplex polyharmonic functions, which implies the introduction of specific classes of bc-polyholomorphic functions.
