On a class of analytic functions closely related to starlike functions with respect to a boundary point

Author:

Dhurai Kamaraj1,Cho Nak Eun2,Sivasubramanian Srikandan3

Affiliation:

1. Department of Mathematics, Government College of Engineering Srirangam, Trichy 620 012, Tamilnadu, India

2. Department of Applied Mathematics, Pukyong National University, Busan 48513, Republic of Korea

3. Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India

Abstract

<abstract><p>In this article, we introduce a new class of analytic functions in the open unit disc that are closely related to functions that are starlike with respect to a boundary point. For this new class of functions, we obtain representation theorem, interesting coefficient estimates and also certain differential subordination implications involving this new class.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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