Asymptotic and computational aspects of complex differential equations
timetable:
Mon 13 Feb, 16:50 - 17:50, Aula Dini
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Properties of the series solutions for Painlevé equations
speaker: Federico Zullo (Roma Tre University, Italy)abstract: We present some observations on the asymptotic behaviour of the coefficients in the Laurent expansion of solutions of the Painlev\'e equations I, II and IV. Explicit recursive formulae for the Taylor expansion of the tau-function around a zero are given, which are natural extensions of analogous formulae for the elliptic sigma function, as given by Weierstrass. Some numerical and exact results on the distribution of poles will be given.
timetable:
Mon 13 Feb, 16:50 - 17:50, Aula Dini
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