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In this paper we study a Sturm--Liouville operator $Ly=-y''+q(x)y$ in thespace $L_2[0,\pi]$ with Direchlet boundary conditions. Here the potential $q$is a fitst order distribution $q\in W_2^{-1}[0,\pi]$. Such operators weredefined in our previous papers. Here we study an asymptotic behaviour ofeigenfunctions with uniform estimates of rests. We obtain this estimates alsofor potentials from Sobolev spaces $q\in W_2^{\theta-1}$, where$\theta\in[0,1/2)$.

Uniform asyptotic formulae for eigenfunctions of Sturm--Liouville operators with singular potentials