Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899418 | Journal of Mathematical Analysis and Applications | 2018 | 15 Pages |
Abstract
We determine the Bohr radius for the class of all functions f of the form f(z)=zmâk=0âakpzkp analytic in the unit disk |z|<1 and satisfy the condition |f(z)|â¤1 for all |z|<1. In particular, our result also contains a solution to a recent conjecture of Ali et al. [9] for the Bohr radius for odd analytic functions, solved by the authors in [17]. We consider a more flexible approach by introducing the p-Bohr radius for harmonic functions which in turn contains the classical Bohr radius as special case. Also, we prove several other new results and discuss p-Bohr radius for the class of odd harmonic bounded functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ilgiz R. Kayumov, Saminathan Ponnusamy,