Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function

The aim of the present paper is to introduce a class $\Sigma _{p}^{ *}(G,H,\tau, c )$ of meromorphic univalent functions in $E=\{0<|z|<1\}$ and investigate coefficient estimates, distortion properties and radius of convexity estimates for this class. Furthermore, it is shown that thi...

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Main Authors: P. Thırupathı Reddy, Rajkumar N. Ingle, Santosh M. Popade, B Venkateswarlu
Format: Article
Language:English
Published: Emrah Evren KARA 2020-09-01
Series:Communications in Advanced Mathematical Sciences
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1065888
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author P. Thırupathı Reddy
Rajkumar N. Ingle
Santosh M. Popade
B Venkateswarlu
author_facet P. Thırupathı Reddy
Rajkumar N. Ingle
Santosh M. Popade
B Venkateswarlu
author_sort P. Thırupathı Reddy
collection DOAJ
description The aim of the present paper is to introduce a class $\Sigma _{p}^{ *}(G,H,\tau, c )$ of meromorphic univalent functions in $E=\{0<|z|<1\}$ and investigate coefficient estimates, distortion properties and radius of convexity estimates for this class. Furthermore, it is shown that this class is closed under convex linear combinations, convolutions and integral transforms.
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spelling doaj.art-0091a714ca8e4a838e8a3f38126595bc2024-02-27T04:36:37ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012020-09-013312412910.33434/cams.7251581225Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel FunctionP. Thırupathı Reddy0Rajkumar N. Ingle1Santosh M. Popade2B Venkateswarlu3Kakatiya UniversityBahirji Smarak MahavidyalaySant Tukaram College of Arts and ScienceGITAM UniversityThe aim of the present paper is to introduce a class $\Sigma _{p}^{ *}(G,H,\tau, c )$ of meromorphic univalent functions in $E=\{0<|z|<1\}$ and investigate coefficient estimates, distortion properties and radius of convexity estimates for this class. Furthermore, it is shown that this class is closed under convex linear combinations, convolutions and integral transforms.https://dergipark.org.tr/tr/download/article-file/1065888convolutionsdistortionmeromorphic
spellingShingle P. Thırupathı Reddy
Rajkumar N. Ingle
Santosh M. Popade
B Venkateswarlu
Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function
Communications in Advanced Mathematical Sciences
convolutions
distortion
meromorphic
title Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function
title_full Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function
title_fullStr Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function
title_full_unstemmed Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function
title_short Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function
title_sort certain subclass of meromorphic functions with positive coefficients defined by bessel function
topic convolutions
distortion
meromorphic
url https://dergipark.org.tr/tr/download/article-file/1065888
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AT rajkumarningle certainsubclassofmeromorphicfunctionswithpositivecoefficientsdefinedbybesselfunction
AT santoshmpopade certainsubclassofmeromorphicfunctionswithpositivecoefficientsdefinedbybesselfunction
AT bvenkateswarlu certainsubclassofmeromorphicfunctionswithpositivecoefficientsdefinedbybesselfunction