Hitoshi Shiraishi, Shigeyoshi Owa
Abstract
Open-access reader
For analytic functions f(z) in the closed unit disk \bar{U}, two boundary points z_1 and z_2 such that α= (f'(z_1)+f'(z_2))/2 in f'(U) are considered. The object of the present paper is to discuss some interesting conditions for f(z) to be |f'(z)-1|
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
For analytic functions f(z) in the closed unit disk \bar{U}, two boundary points z_1 and z_2 such that α= (f'(z_1)+f'(z_2))/2 in f'(U) are considered. The object of the present paper is to discuss some interesting conditions for f(z) to be |f'(z)-1|
Key concepts: Analytic function, Unit disk, Boundary (topology), Object (grammar), Unit (ring theory), Boundary values, Mathematics, Analytic element method