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SUMMARY:Walter Van Assche (KU Leuven)
DTSTART:20210706T130000Z
DTEND:20210706T140000Z
DTSTAMP:20260422T201530Z
UID:CAvid/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/46/">H
 ermite-Padé approximation to two function with branch points</a>\nby Walt
 er Van Assche (KU Leuven) as part of CAvid: Complex Analysis video seminar
 \n\nLecture held in N/A.\n\nAbstract\nHermite-Padé approximation to two f
 unctions is rational approximation to both functions with a common denomin
 ator and close contact at one point (we will use infinity). The common den
 ominator is a polynomial with orthogonality conditions for two measures. I
 f the two functions have branch points in the complex plane\, then the asy
 mptotic behaviour of the zeros (the poles of the Hermite-Padé approximant
 s) is determined by algebraic functions satisfying a cubic relation.\nWe w
 ill sketch how to get the full asymptotics of the common denominator using
  the Riemann-Hilbert problem for matrix valued functions for some particul
 ar choices of branch points\, which appear in applications in number theor
 y.\n
LOCATION:https://researchseminars.org/talk/CAvid/46/
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