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math.CV2021
The Bohr inequality for the generalized C{é}saro averaging operators
Ilgiz R Kayumov, Diana M. Khammatova, Saminathan Ponnusamy
The main aim of this paper is to prove a generalization of the classical Bohr theorem and as an application, we obtain a counterpart of Bohr theorem for the generalized Cesáro oper…
math.CV2020
On a conjecture about univalent polynomials
Ilgiz R. Kayumov, Diana M. Khammatova
In this paper we prove a recent conjecture formulated by Dmitrishin, Smorodin and Stokolos about that certain polynomials are univalent in the unit disk. As a consequence we get an…