a1 Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois 60115–2888, U.S.A.
In  Atkinson considers the asymptotic form of the eigenvalues of the linear differentialequation
where a < 0 < b and y satisfies appropriate conditions at a andb. In particular Atkinson considers where q is singular at 0. In this case q(x) = xK, his results cover the case l ≦ K <. We extend Atkinson's results to cover more singular q, in the power case 1 ≦K <
(Received October 05 1987)
(Revised February 16 1988)