I. Kayumov

activity

20132024

most citedBohr--Rogosinski radius for analytic functions

25 citations · 40 across the 12 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.CV2017

Bohr radius for locally univalent harmonic mappings

Ilgiz R Kayumov, Saminathan Ponnusamy, Nail Shakirov

We consider the class of all sense-preserving harmonic mappings $f = h + g$ of the unit disk $\ID$, where $h$ and $g$ are analytic with $g (0) = 0$ , and determine the Bohr rad…

math.CV2017★ 25 cited

Bohr--Rogosinski radius for analytic functions

Ilgiz R Kayumov, Saminathan Ponnusamy

There are a number of articles which deal with Bohr's phenomenon whereas only a few papers appeared in the literature on Rogosinski's radii for analytic functions defined on the un…

math.CV2017★ 2 cited

Bohr's inequality for analytic functions $\sum_{k} b_{k} z^{k p + m}$ and harmonic functions

Ilgiz R Kayumov, Saminathan Ponnusamy

We determine the Bohr radius for the class of all functions $f$ of the form $f (z) = \sum_{k = 1}^{\infty} a_{k p + m} z^{k p + m}$ analytic in the unit disk $∣ z ∣ < 1$ and satisfy the condition $…

math.CV2017★ 4 cited

Bohr inequality for odd analytic functions

Ilgiz R Kayumov, Saminathan Ponnusamy

We determine the Bohr radius for the class of odd functions $f$ satisfying $∣ f (z) ∣ \leq 1$ for all $∣ z ∣ < 1$ , settling the recent conjecture of Ali, Barnard and Solynin \cite{AliBarSol…

Bohr radius for locally univalent harmonic mappings

Bohr--Rogosinski radius for analytic functions

Bohr's inequality for analytic functions ∑k​bk​zkp+m and harmonic functions

Bohr inequality for odd analytic functions

Bohr's inequality for analytic functions $\sum_{k} b_{k} z^{k p + m}$ and harmonic functions