Recording date: 29/08/2011
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Bounds for solutions of monotonic first order differential systems, with application to special functions

Many special functions are solutions of rst order linear systems y0(x) = a(x)y(x)+d(x)w(x), w0(x) =
b(x)w(x)+e(x)y(x). We obtain bounds for the ratios y(x)=w(x) and the logarithmic derivatives of y(x)
and w(x) for solutions of monotonic systems satisfying certain initial or boundary conditions. We focus
on systems satis ed by functions y(x) = yn(x) and w(x) = yn

Javier Segura
Javier Segura