The sharp refined Bohr-Rogosinski inequalities for certain classes of harmonic mappings

被引：4

作者：

Ahamed, Molla Basir ^{[1
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata, West Bengal, India

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 04期

关键词：

Harmonic functions; close-to-convex functions; coefficient estimates; growth theorem; Bohr radius; Bohr-Rogosisnki radius; POWER-SERIES; RADIUS; SUBCLASSES; THEOREM; SUBORDINATION; SECTIONS; FAMILIES;

D O I：

10.1080/17476933.2022.2155636

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A class F consisting of analytic functions f(z) = Sigma(infinity)(n=0) a(n)z(n) in the unit disc D = {z is an element of C: |z| < 1} satisfies a Bohr phenomenon if there exists an r(f) > 0 such that Sigma(infinity)(n=1) |a(n)|r(n) <= d (f (0),partial derivative f(D)) for every function f is an element of F, and |z| = r <= rf. The largest radius rf is the Bohr radius and the inequality Sigma(infinity)(n=1) |an|r(n) <= d (f (0), partial derivative f(D)) is Bohr inequality for the class F, where "d' is the Euclidean distance. In this paper, we prove sharp refinement of the Bohr-Rogosinski inequality for certain classes of harmonic mappings.

引用

页码：586 / 606

页数：21

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