"Refinements of the Bohr and Rogosinski phenomena" by Nilanjan Das
 

Refinements of the Bohr and Rogosinski phenomena

Article Type

Research Article

Publication Title

Journal of Mathematical Analysis and Applications

Abstract

We obtain improved versions of a classical theorem of Rogosinski concerning the partial sums of a bounded holomorphic function defined on the open unit disk D. Further, we establish refined versions of a generalized Bohr inequality for holomorphic functions mapping D inside a simply connected or convex domain Ω⊊C. In addition, we improve on the classical Bohr inequality for the family of holomorphic self mappings of D and for its subfamily consisting of functions that fix the origin.

DOI

10.1016/j.jmaa.2021.125847

Publication Date

4-1-2022

Comments

Open Access, Bronze

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