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1. Generalization of Jack’s lemma for functions with fixed initial coefficient and its applications.

Author

Alavi, Rogayeh, Shams, Saied, and Aghalary, Rasoul

Subjects
ANALYTIC functions, GENERALIZATION, MEROMORPHIC functions
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. [ABSTRACT FROM AUTHOR]

Published
2024
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