On the Bohr's Inequality for Stable Mappings

被引：1

作者：

AbdulHadi, Zayid ^{[1
]}

El Hajj, Layan ^{[2
]}

机构：

[1] Amer Univ Sharjah, Dept Math & Stat, Box 26666, Sharjah, U Arab Emirates

[2] Amer Univ Dubai, Math Div, Dubai, U Arab Emirates

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 01期

基金：

日本学术振兴会;

关键词：

Harmonic mappings; Logharmonic mappings; Bohr's radius; Stable properties; Stable univalent; Stable convex; ANALYTIC-FUNCTIONS; THEOREM; RADIUS;

D O I：

10.1007/s40840-022-01401-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the class of stable harmonic mappings f = h + (sic) introduced by Martin, Hernandez and the class of stable logharmonic mappings f = zh(sic) introduced by AbdulHadi, El-Hajj. We determine Bohr's radius for the classes of stable univalent harmonic mappings, stable convex harmonic mappings and stable univalent loghar-monic mappings. We also consider improved and refined versions of Bohr's inequality and discuss the Bohr-Rogosinski's radius for this family of mappings.

引用

页数：18

共 42 条

[1] UNIVALENT-FUNCTIONS IN H.HBAR(D)
ABDULHADI, Z
BSHOUTY, D
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 305 (02) : 841 - 849
[2] Abdulhadi Z., 2006, J. Inequal. Pure Appl. Math, V7, P123
[3] Stable geometrical properties of logharmonic mappings
AbdulHadi, Zayid
El Hajj, Layan
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (06) : 854 - 870
[4] Univalent Logharmonic Mappings in the Plane
Abdulhadi, Zayid
Ali, Rosihan M.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[5] Bohr radius for subordinating families of analytic functions and bounded harmonic mappings
Abu Muhanna, Y.
Ali, Rosihan M.
Ng, Zhen Chuan
Hasni, Siti Farah M.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 420 (01) : 124 - 136
[6] Bohr's phenomenon for analytic functions into the exterior of a compact convex body
Abu Muhanna, Y.
Ali, Rosihan M.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 379 (02) : 512 - 517
[7] The spherical metric and univalent harmonic mappings
Abu Muhanna, Yusuf
Ali, Rosihan M.
Ponnusamy, Saminathan
[J]. MONATSHEFTE FUR MATHEMATIK, 2019, 188 (04): : 703 - 716
[8] Abu Muhanna Y, 2017, SPRINGER OPTIM APPL, V117, P269, DOI 10.1007/978-3-319-49242-1_13
[9] Bohr's phenomenon in subordination and bounded harmonic classes
Abu Muhanna, Yusuf
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2010, 55 (11) : 1071 - 1078
[10] Multidimensional analogues of Bohr's theorem on power series
Aizenberg, L
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (04) : 1147 - 1155

← 1 2 3 4 5 →