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.