Can I read Generalization of Bohr-type inequality in analytic functions on EtoBox?

Generalization of Bohr-type inequality in analytic functions by Lin, Rou-Yuan; Liu, Ming-Sheng; Ponnusamy, Saminathan is a scholarly article available to read on EtoBox.

What is Generalization of Bohr-type inequality in analytic functions about?

This paper mainly uses the nonnegative continuous function $\{\zeta_n(r)\}_{n=0}^{\infty}$ to redefine the Bohr radius for the class of analytic functions satisfying $\real f(z)<1$ in the unit disk $|z|<1$ and redefine the Bohr radius of the alternating series $A_f(r)$ with analytic functions $f$ of the form $f(z)=\sum_{n=0}^{\infty}a_{pn+m}z^{pn+m}$ in $|z|<1$. In the latter case, one can also get information about Bohr radius for even and odd analytic functions. Moreover, the relationships between the majorant series $M_f(r)$ and the odd and even bits of $f(z)$ are also established. We will prove that most of results are sharp.

Author

Lin, Rou-Yuan; Liu, Ming-Sheng; Ponnusamy, Saminathan

Published

2021

Language

EN