On a boundary property of analytic functions

Abstract Let f be an analytic function in the unit disc | z | < 1 $|z|<1$ on the complex plane C $\mathbb {C}$ . This paper is devoted to obtaining the correspondence between f ( z ) $f(z)$ and z f ′ ( z ) $zf'(z)$ at the point w, 0 < | w | = R < 1 $0<|w|=R< 1$ , such that | f...

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Bibliographic Details
Main Authors: Mamoru Nunokawa, Janusz Sokół
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1575-9