= Logarithmically divergent derivative at a regular singular endpoint
{title2=$y'(x)\sim-a(0)y(0)\log x$}
= Logarithmically divergent endpoint derivative
{synonym}
For $xy''+a(x)y=0$ with analytic coefficient and a continuous solution having $a(0)y(0)\ne0$, the equation gives $y''\sim-a(0)y(0)/x$. Integrating towards the endpoint gives the displayed logarithmic divergence of the <derivative>. A bounded solution value therefore does not imply a finite <derivative> at a <regular singular point>.
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