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SUMMARY:Robert Buckingham (University of Cincinnati)
DTSTART:20231107T140000Z
DTEND:20231107T150000Z
DTSTAMP:20260422T201115Z
UID:CAvid/111
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/111/">
 Asymptotics of Rational Painlevé V Functions</a>\nby Robert Buckingham (U
 niversity of Cincinnati) as part of CAvid: Complex Analysis video seminar\
 n\nLecture held in N/A.\n\nAbstract\nThe Painlevé functions are a family 
 of ordinary differential equations with myriad applications to mathematica
 l physics and probability.  The rational solutions of these equations have
  drawn attention for the remarkable geometric structure of their zeros and
  poles.  We study the family of rational solutions of the Painlevé-V equa
 tion built from Umemura polynomials.  We derive a new Riemann-Hilbert repr
 esentation and use it to obtain the boundary of the pole region and the la
 rge-degree behavior in the pole-free region.  This is joint work with Matt
 hew Satter of the University of Cincinnati.\n
LOCATION:https://researchseminars.org/talk/CAvid/111/
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