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SUMMARY:Risto Korhonen (University of Eastern Finland)
DTSTART:20210323T130000Z
DTEND:20210323T140000Z
DTSTAMP:20260422T201708Z
UID:CAvid/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/31/">D
 elay differential equations and Nevanlinna theory</a>\nby Risto Korhonen (
 University of Eastern Finland) as part of CAvid: Complex Analysis video se
 minar\n\nLecture held in N/A.\n\nAbstract\nThe idea that the existence of 
 sufficiently many finite-order meromorphic solutions could be used to sing
 le out difference Painlevé equations was introduced by Ablowitz\, Halburd
  and Herbst. In this talk necessary conditions are obtained for certain ty
 pes of delay differential equations to admit a transcendental meromorphic 
 solution of hyper-order less than one. The equations obtained include dela
 y Painlevé equations and equations solvable by elliptic functions. We con
 clude with recent results on the existence of transcendental meromorphic s
 olutions of first-order difference equations\, without growth conditions.\
 n
LOCATION:https://researchseminars.org/talk/CAvid/31/
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