Differential Marty-type inequalities which lead to quasi-normality

Shahar Nevo, Ziv Shem Tov

Research output: Contribution to journalArticlepeer-review


We show that a family of all holomorphic functions f in a domain D satisfying [Formula presented], for z∈D,m,k∈N,m≤k,C>0, is quasi-normal for α=1, and quasi-normal of order at most k−1 for α<1 (possibly negative) in D.

Original languageEnglish
Article number127337
JournalJournal of Mathematical Analysis and Applications
Issue number1P1
StatePublished - 1 Nov 2023

Bibliographical note

Funding Information:
The authors thank the referee for his very valuable comments.

Publisher Copyright:
© 2023 Elsevier Inc.


  • Differential inequalities
  • Marty's theorem
  • Quasi-normal families


Dive into the research topics of 'Differential Marty-type inequalities which lead to quasi-normality'. Together they form a unique fingerprint.

Cite this