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SUMMARY:Norbert Steinmetz (Technische Universität Dortmund)
DTSTART:20200929T130000Z
DTEND:20200929T140000Z
DTSTAMP:20260422T201545Z
UID:CAvid/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/14/">L
 aplace contour integrals and linear differential equations</a>\nby Norbert
  Steinmetz (Technische Universität Dortmund) as part of CAvid: Complex An
 alysis video seminar\n\nLecture held in N/A.\n\nAbstract\nAny linear diffe
 rential equation with coefficients of degree one\n$$w^{(n)}+\\sum_{j=0}^{n
 -1}(a_j+b_jz)w^{(j)}=0$$\nhas solutions that may be represented as\nLaplac
 e contour integrals\n$$f(z)=\\frac1{2\\pi i}\\int_C\\phi(t)e^{-zt}\\\,dt.$
 $\nWe will discuss the main properties of\nthese solutions and determine t
 heir order of growth\, asymptotics\, Phragm\\'en-Lindel\\"of indicator\, d
 istribution of zeros\,\nNevanlinna functions $T(r\,f)$ and $N(r\,1/f)$\, a
 nd the existence of sub-normal and polynomial solutions.\n
LOCATION:https://researchseminars.org/talk/CAvid/14/
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