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On the behavior of the modulus of $m$-th derivatives of the algebraic polynomials in the whole complex plane without recurrence formula in the weighted Bergman space

UDC 517.5 We study the problem of growth of the $m$th derivatives of an arbitrary algebraic polynomial in weighted Bergman spaces in unbounded domains of the complex plane, without using the recurrence relation. We consider $k$-quasidisks and quasidisks with some additional functional conditions. Th...

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Datum:	2026
Hauptverfasser:	Abdullayev, F. G., Imashkyzy, M., Аbdullayev, Fahreddin
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2026
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/8778
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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