%0 Journal Article
%T Rigorous analytical approximation of tritronquee solution to Painleve-1 and the first singularity
%A A. Adali
%A S. Tanveer
%J Mathematics
%D 2014
%I arXiv
%X We use a recently developed method to determine approximate expression for tritronqu\'{e}e solution for P-1: $y^{\prime \prime} + 6 y^2 - x=0$ in a domain $D$ with rigorous bounds. In particular we rigorously confirm the location of the closest singularity from the origin to be at $x= - \frac{770766}{323285} = -2.3841687675\cdots$ to within $5 \times 10^{-6}$ accuracy, in agreement with previous numerical calculation.
%U http://arxiv.org/abs/1412.3782v2