Open AccessOn Bazilevic functions and Umezawa’s lemma
Author(s) -
Mamoru Nunokawa,
Janusz Sokół
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1906575n
Subject(s) - mathematics , lemma (botany) , unit disk , class (philosophy) , analytic function , pure mathematics , unit (ring theory) , combinatorics , discrete mathematics , mathematics education , biology , ecology , poaceae , artificial intelligence , computer science
We consider some properties on |z| = r < 1 of analytic functions in the unit disk |z| < 1. Applying Umezawa?s lemma, On the theory of univalent functions, Tohoku Math J. 7(1955) 212-228, we prove some suffcient conditions for functions to be in the class of Bazilevic functions and some related results.