Majorization and Coefficient Problems for a General Class of Starlike Functions

In the current paper, we study a majorization issue for a general category <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi mathvariant="script">S</mi> <mo>*</mo> </msup> <mrow> <mo>(<...

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Bibliographic Details
Main Authors: Nak Eun Cho, Zahra Oroujy, Ebrahim Analouei Adegani, Ali Ebadian
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/3/476
Description
Summary:In the current paper, we study a majorization issue for a general category <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi mathvariant="script">S</mi> <mo>*</mo> </msup> <mrow> <mo>(</mo> <mi>&#977;</mi> <mo>)</mo> </mrow> </mrow> </semantics> </math> </inline-formula> of starlike functions, the region of which is often symmetric with respect to the real axis. For various special symmetric functions <inline-formula> <math display="inline"> <semantics> <mi>&#977;</mi> </semantics> </math> </inline-formula>, corresponding consequences of the main result are also presented with some relevant connections of the outcomes rendered here with those obtained in recent research. Moreover, coefficient bounds for some majorized functions are estimated.
ISSN:2073-8994