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Algebra i Analiz, 2022 Volume 34, Issue 6, Pages 228–241 (Mi aa1842)

Research Papers

On a Blaschke-type condition for zeros of derivatives for functions in the Nevanlinna class in the disk

F. A. Shamoyan

Саратовский национальный исследовательский государственный университет им. Н. Г. Чернышевского, ул. Астраханская, 83, 410012, г. Саратов, Россия

Abstract: A necessary and sufficient Blaschke-type condition for zeros of derivatives of functions from R. Nevanlinna's class in the disk is obtained.

Keywords: Blaschke condition, Nevanlinna class, zeros of deriatives.

Received: 14.02.2022


 English version:
St. Petersburg Mathematical Journal, 2023, 34:6, 1063–1072


© Steklov Math. Inst. of RAS, 2025