TY - JOUR
T1 - Improved Bohr’s Inequality for Shifted Disks
AU - Evdoridis, Stavros
AU - Ponnusamy, Saminathan
AU - Rasila, Antti
N1 - Publisher Copyright:
© 2021, Springer Nature Switzerland AG.
PY - 2021/3
Y1 - 2021/3
N2 - In this paper, we study the Bohr phenomenon for functions that are defined on a general simply connected domain of the complex plane. We improve known results of R. Fournier and St. Ruscheweyh for a class of analytic functions. Furthermore, we examine the case where a harmonic mapping is defined in a disk containing D and obtain a Bohr type inequality.
AB - In this paper, we study the Bohr phenomenon for functions that are defined on a general simply connected domain of the complex plane. We improve known results of R. Fournier and St. Ruscheweyh for a class of analytic functions. Furthermore, we examine the case where a harmonic mapping is defined in a disk containing D and obtain a Bohr type inequality.
KW - Bounded analytic functions
KW - harmonic functions
KW - locally univalent functions and Bohr radius
UR - http://www.scopus.com/inward/record.url?scp=85102253530&partnerID=8YFLogxK
U2 - 10.1007/s00025-020-01325-x
DO - 10.1007/s00025-020-01325-x
M3 - 文章
AN - SCOPUS:85102253530
SN - 1422-6383
VL - 76
JO - Results in Mathematics
JF - Results in Mathematics
IS - 1
M1 - 14
ER -