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SUMMARY:Fiana Jacobzon (Braude College of Engineering\, Karmiel\, Israel)
DTSTART:20220628T130000Z
DTEND:20220628T140000Z
DTSTAMP:20260422T201358Z
UID:CAvid/82
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/82/">A
 n "inverse Fekete-Szegö problem" and filtration of generators</a>\nby Fia
 na Jacobzon (Braude College of Engineering\, Karmiel\, Israel) as part of 
 CAvid: Complex Analysis video seminar\n\nLecture held in N/A.\n\nAbstract\
 nIn this talk we introduce and discuss a question that can be interpreted 
 as an "inverse Fekete-Szegö problem".  It turns out that this problem lin
 ks to the so-called filtration of infinitesimal generators. Several filtra
 tion classes have recently been studied\, including their applications to 
 semigroups of holomorphic mappings in the unit disk.\nTo address the circl
 e of questions that arise in this context we introduce new filtration clas
 ses using the non-linear differential operator\n\\[\\alpha\\cdot \\frac{f(
 z)}{z}+\\beta\\cdot \\frac{zf'(z)}{f(z)}+(1-\\alpha-\\beta)\\cdot \\left[1
 +\\frac{zf''(z)}{f'(z)}\\right]\,\\]\nand establish certain properties of 
 these classes. \nSharp upper bounds of the modulus of the Fekete--Szegö f
 unctional over some filtration classes are found. \nWe also present open p
 roblems for further study.\n\n\nJoint work with Mark Elin (Braude College 
 of Engineering\, Karmiel\, Israel) and \nNikola Tuneski (Ss. Cyril and Met
 hodius University\, Skopje\, Republic of North Macedonia)\n
LOCATION:https://researchseminars.org/talk/CAvid/82/
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