| 摘 要： | A continuously differntiable solution of hyercomplex elliptic equationDW+AW+BW=0, z=x+iy (1)is called generalized hyperanalytic function, here D is Douglis differentiat operator. Suppose L consists ofcountable soomth Jordan closed curves L_k k=1, 2, …, the finite domain surrounded by L_k is denotedG_k~+, All G_k~+ don't intersect one another, the positive directions of L_k are determined as usual, and {L_k}converges at a finite z_0. Set L= L∪(Z_0) , G~+ = G_k~+, G~-=C\G~+.This paper deals with the Riemann problem ; find a piecewise generalized hyperanalytic function w(z)in the whole plane C, satisfying the bounbary condition on L
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