INTEGRAL REPRESENTATIONS FOR BI-REGULAR FUNCTIONS AND HARMONIC FUNCTIONS OVER PLANE IN CLIFFORD ANALYSIS

In this article, we study the integral representations over hyper-complex plane П for bi-regular functions and harmonic functions with values in a Clifford algebra. By constructing the kernel functions, we give the integral representation formulas over hyper-complex plane П for bi-regular functions and harmonic functions with values in a Clifford algebra. These results are extensions of integral representations over hyper-complex plane П for regular functions.