**On Eigenfunctions Generated by
Homogeneous Neyman Problem for Differential Bundle**

The boundary-value problem (1)-(2) in the unit disk centered in the origin is studied. For the problem in explicit form a system of polynomial eigen functions corresponding to the polynimial eigenvalues is constructed. We prove that these functions for a > 0 compose a complete system in while in the limit case a = 0 the completeness is not valid.