Bohr Radius for Certain Analytic Functions

被引：1
|
作者：
Jain, Naveen Kumar [1 ]
Yadav, Shalu [2 ]
机构：
[1] Aryabhatta Coll, Dept Math, Delhi 110021, India
[2] Univ Delhi, Dept Math, Delhi 110007, India
来源：
MATHEMATICAL ANALYSIS I: APPROXIMATION THEORY, ICRAPAM 2018 | 2020年 / 306卷
关键词：
Bohr radius; Convex function; Starlike function; Spiral function; Convolution; SUBORDINATING FAMILIES; THEOREM; SPACE; BASES;
D O I：
10.1007/978-981-15-1153-0_18
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For an analytic self-mapping f (z) = Sigma(infinity)(n=0) a(n)z(n) of the unit disk D, it is well-known that Sigma(infinity)(n=0) vertical bar a(n)vertical bar vertical bar z vertical bar(n) <= 1 for vertical bar z vertical bar <= 1/3 and the number 1/3, known as the Bohr radius for the class of analytic self-mappings of D, is sharp. We have obtained the Bohr radius for the class of a-spiral functions of order rho and the Bohr radius for the class of analytic functions f defined on the unit disk satisfying the differential subordination f (z) + beta zf' (z) + gamma z(2) f ''(z) < h(z).
引用
收藏
页码：211 / 221
页数：11
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