BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Maciej Parol (The John Paul II Catholic University of Lublin) DTSTART:20230711T083000Z DTEND:20230711T085500Z DTSTAMP:20260409T234007Z UID:HCS2023/14 DESCRIPTION:Title: The Koebe radius for certain class of polynomials\nby Maciej Parol (T he John Paul II Catholic University of Lublin) as part of Hypercomplex Sem inar 2023\n\n\nAbstract\nThe presented results concern close-to-convex pol ynomials with all zeros of derivative in\nthe unit circle T. The minimal d isc containing all images of the unit disc D and the maximal disc\ncontain ed in all images of D through polynomials of degree 3 and 4 were determine d in [4]. Moreover\,\nall extremal functions for both problems were receiv ed. The same problem for polynomials of degree 5\nwas solved in [5]. In ad dition\, the hypothesis for polynomials of odd degree was also given.\n\nJ oint work with: Szymon Ignaciuk\n\nReferences\n\n[1] Bieberbach L.\, Über die Koeffizienten derjenigen Potenzreihen\, welche eine schlichte Abbildu ng des Einheitskreises vermitteln\, Sitzungsber. Preuss. Akad. Wiss. Phys- Math. Kl.\, pp. 940-955\, (1916).\n\n[2] Dmitrishin D.\, Dyakonov K.\, Sto kolos A.\, Univalent polynomials and Koebe's one-quarter theorem\, Anal. M ath. Phys.9(3)\, pp. 991-1004\, (2019). DOI: 10.1007/s13324-019-00305-x\n\ n[3] Ignaciuk S.\, Parol M.\, Zeros of complex polynomials and Kaplan clas ses\, Anal. Math. 46\, pp. 769-779\, (2020). DOI: 10.1007/s10476-020-0044- 8\n\n[4] Ignaciuk S.\, Parol M.\, On the Koebe Quarter Theorem for certain polynomials\, Anal. Math. Phys. 11(68)\, (2021). DOI: 10.1007/s13324-021- 00501-8\n\n[5] Ignaciuk S.\, Parol M.\, On the Koebe Quarter Theorem for c ertain polynomials of odd degree\, Anal. Math. Phys. 12(92)\, (2022). DOI: 10.1007/s13324-022-00703-8\n LOCATION:https://researchseminars.org/talk/HCS2023/14/ END:VEVENT END:VCALENDAR