Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination

In the present investigation, we introduce certain new subclasses of the class of biunivalent functions in the open unit disc U=z:z<1 defined by quasi-subordination. We obtained estimates on the initial coefficients a2 and a3 for the functions in these subclasses. The results present in this pape...

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Main Authors: Gurmeet Singh, Gurcharanjit Singh, Gagandeep Singh
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2019/6947020
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author Gurmeet Singh
Gurcharanjit Singh
Gagandeep Singh
author_facet Gurmeet Singh
Gurcharanjit Singh
Gagandeep Singh
author_sort Gurmeet Singh
collection DOAJ
description In the present investigation, we introduce certain new subclasses of the class of biunivalent functions in the open unit disc U=z:z<1 defined by quasi-subordination. We obtained estimates on the initial coefficients a2 and a3 for the functions in these subclasses. The results present in this paper would generalize and improve those in related works of several earlier authors.
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institution Kabale University
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publishDate 2019-01-01
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series Abstract and Applied Analysis
spelling doaj-art-76863fea41de4409a3df4db9da11ff292025-02-03T01:11:15ZengWileyAbstract and Applied Analysis1085-33751687-04092019-01-01201910.1155/2019/69470206947020Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-SubordinationGurmeet Singh0Gurcharanjit Singh1Gagandeep Singh2Principal, Patel Memorial National College, Rajpura, Punjab, IndiaResearch Scholar, Department of Mathematics, Punjabi University, Patiala, Punjab, IndiaDepartment of Mathematics, Majha College for Women, Tarn Taran Sahib, Punjab, IndiaIn the present investigation, we introduce certain new subclasses of the class of biunivalent functions in the open unit disc U=z:z<1 defined by quasi-subordination. We obtained estimates on the initial coefficients a2 and a3 for the functions in these subclasses. The results present in this paper would generalize and improve those in related works of several earlier authors.http://dx.doi.org/10.1155/2019/6947020
spellingShingle Gurmeet Singh
Gurcharanjit Singh
Gagandeep Singh
Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination
Abstract and Applied Analysis
title Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination
title_full Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination
title_fullStr Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination
title_full_unstemmed Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination
title_short Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination
title_sort certain subclasses of bi close to convex functions associated with quasi subordination
url http://dx.doi.org/10.1155/2019/6947020
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AT gurcharanjitsingh certainsubclassesofbiclosetoconvexfunctionsassociatedwithquasisubordination
AT gagandeepsingh certainsubclassesofbiclosetoconvexfunctionsassociatedwithquasisubordination