Abstract
Consiaer a closed, rectifiable Jordan curve, C, lying in the (x y)-plane, possessing continuous curvature, and of length u-. Let f(x,y) be a function which is harmonic inside C and continuous in the closed region 0 consisting of C and its interior. The present paper is concerned with the development of f(x,y) in terms of a set of harmonic polynomials Pm(x,y), which are linear combinations of the functions 1, x, y, x2 y2, Xyy . Let
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