S. A. Alkhaleefah

collaborators

2 papers

math.CV2020

Bohr--Rogosinski inequalities for bounded analytic functions

Seraj A. Alkhaleefah, Ilgiz R. Kayumov, Saminathan Ponnusamy

In this paper we first consider another version of the Rogosinski inequality for analytic functions $f (z) = \sum_{n = 0}^{\infty} a_{n} z^{n}$ in the unit disk $∣ z ∣ < 1$ , in which we replace…

math.CV2019

On the Bohr inequality with a fixed zero coefficient

Seraj A. Alkhaleefah, Ilgiz R Kayumov, Saminathan Ponnusamy

In this paper, we introduce the study of the Bohr phenomenon for a quasi-subordination family of functions, and establish the classical Bohr's inequality for the class of quasisubo…