Logarithmic Coefficients for Univalent Functions Defined by Subordination

Logarithmic Coefficients for Univalent Functions Defined by Subordination

In this work, the bounds for the logarithmic coefficients <inline-formula> <math display="inline"> <semantics> <msub> <mi>&#947;</mi> <mi>n</mi> </msub> </semantics> </math> </inline-formula> of the general classes...

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Main Authors: Ebrahim Analouei Adegani, Nak Eun Cho, Mostafa Jafari
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Mathematics
Subjects:
starlike functions
convex functions
subordination
logarithmic coefficients
Online Access:https://www.mdpi.com/2227-7390/7/5/408
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spelling doaj-42747e0daf6d41d594aadc2936a0fda22020-11-25T02:00:33ZengMDPI AGMathematics2227-73902019-05-017540810.3390/math7050408math7050408Logarithmic Coefficients for Univalent Functions Defined by SubordinationEbrahim Analouei Adegani0Nak Eun Cho1Mostafa Jafari2Faculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box 316-36155, Shahrood 3619995161, IranDepartment of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 608-737, KoreaDepartment of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad 8514143131, IranIn this work, the bounds for the logarithmic coefficients <inline-formula> <math display="inline"> <semantics> <msub> <mi>&#947;</mi> <mi>n</mi> </msub> </semantics> </math> </inline-formula> of the general classes <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi mathvariant="script">S</mi> <mo>*</mo> </msup> <mrow> <mo>(</mo> <mi>&#966;</mi> <mo>)</mo> </mrow> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="script">K</mi> <mo>(</mo> <mi>&#966;</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> were estimated. It is worthwhile mentioning that the given bounds would generalize some of the previous papers. Some consequences of the main results are also presented, noting that our method is more general than those used by others.https://www.mdpi.com/2227-7390/7/5/408starlike functionsconvex functionssubordinationlogarithmic coefficients
collection DOAJ
language English
format Article
sources DOAJ
author Ebrahim Analouei Adegani
Nak Eun Cho
Mostafa Jafari
spellingShingle Ebrahim Analouei Adegani
Nak Eun Cho
Mostafa Jafari
Logarithmic Coefficients for Univalent Functions Defined by Subordination
Mathematics
starlike functions
convex functions
subordination
logarithmic coefficients
author_facet Ebrahim Analouei Adegani
Nak Eun Cho
Mostafa Jafari
author_sort Ebrahim Analouei Adegani
title Logarithmic Coefficients for Univalent Functions Defined by Subordination
title_short Logarithmic Coefficients for Univalent Functions Defined by Subordination
title_full Logarithmic Coefficients for Univalent Functions Defined by Subordination
title_fullStr Logarithmic Coefficients for Univalent Functions Defined by Subordination
title_full_unstemmed Logarithmic Coefficients for Univalent Functions Defined by Subordination
title_sort logarithmic coefficients for univalent functions defined by subordination
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-05-01
description In this work, the bounds for the logarithmic coefficients <inline-formula> <math display="inline"> <semantics> <msub> <mi>&#947;</mi> <mi>n</mi> </msub> </semantics> </math> </inline-formula> of the general classes <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi mathvariant="script">S</mi> <mo>*</mo> </msup> <mrow> <mo>(</mo> <mi>&#966;</mi> <mo>)</mo> </mrow> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="script">K</mi> <mo>(</mo> <mi>&#966;</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> were estimated. It is worthwhile mentioning that the given bounds would generalize some of the previous papers. Some consequences of the main results are also presented, noting that our method is more general than those used by others.
topic starlike functions
convex functions
subordination
logarithmic coefficients
url https://www.mdpi.com/2227-7390/7/5/408
work_keys_str_mv AT ebrahimanaloueiadegani logarithmiccoefficientsforunivalentfunctionsdefinedbysubordination
AT nakeuncho logarithmiccoefficientsforunivalentfunctionsdefinedbysubordination
AT mostafajafari logarithmiccoefficientsforunivalentfunctionsdefinedbysubordination
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