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.
Bibliographical noteFunding Information:
The authors thank the referee for his very valuable comments.
© 2023 Elsevier Inc.
- Differential inequalities
- Marty's theorem
- Quasi-normal families