Generalization of Jack's lemma for functions with fixed initial coefficient and its applications
DOI:
https://doi.org/10.24193/subbmath.2024.2.05Keywords:
Analytic functions, Differential subordination, Fixed initial coefficient, Meromorphic functions, Nunokawa's lemma, open-door lemma.Abstract
In this paper, by using the theory of differential subordination, we will generalize Jack's lemma for functions with fixed initial coefficient. Then extensions of the well-known open-door lemma for analytic and meromorphic functions with fixed initial coefficient are given. Also we consider some applications of the extension of Jack's lemma.References
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