Certain Subclasses of Bistarlike and Biconvex Functions Based on Quasi-Subordination

We introduce the unified biunivalent function class Mq,σδ,λ(γ,φ) defined based on quasi-subordination and obtained the coefficient estimates for Taylor-Maclaurin coefficients |a2| and |a3|. Several related classes of functions are also considered and connections to earlier known and new results are...

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Main Authors: Nanjundan Magesh, Vitalrao Kupparao Balaji, Jagadesan Yamini
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2016/3102960
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author Nanjundan Magesh
Vitalrao Kupparao Balaji
Jagadesan Yamini
author_facet Nanjundan Magesh
Vitalrao Kupparao Balaji
Jagadesan Yamini
author_sort Nanjundan Magesh
collection DOAJ
description We introduce the unified biunivalent function class Mq,σδ,λ(γ,φ) defined based on quasi-subordination and obtained the coefficient estimates for Taylor-Maclaurin coefficients |a2| and |a3|. Several related classes of functions are also considered and connections to earlier known and new results are established.
format Article
id doaj-art-a0e1e3a2e67146fc97fb7ff5715341bd
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2016-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-a0e1e3a2e67146fc97fb7ff5715341bd2025-02-03T01:09:36ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/31029603102960Certain Subclasses of Bistarlike and Biconvex Functions Based on Quasi-SubordinationNanjundan Magesh0Vitalrao Kupparao Balaji1Jagadesan Yamini2Post-Graduate and Research Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamil Nadu 635001, IndiaDepartment of Mathematics, L. N. Government College, Ponneri, Tiruvalur, Tamil Nadu 601204, IndiaDepartment of Mathematics, Government First Grade College, Vijayanagar, Bangalore, Karnataka 560104, IndiaWe introduce the unified biunivalent function class Mq,σδ,λ(γ,φ) defined based on quasi-subordination and obtained the coefficient estimates for Taylor-Maclaurin coefficients |a2| and |a3|. Several related classes of functions are also considered and connections to earlier known and new results are established.http://dx.doi.org/10.1155/2016/3102960
spellingShingle Nanjundan Magesh
Vitalrao Kupparao Balaji
Jagadesan Yamini
Certain Subclasses of Bistarlike and Biconvex Functions Based on Quasi-Subordination
Abstract and Applied Analysis
title Certain Subclasses of Bistarlike and Biconvex Functions Based on Quasi-Subordination
title_full Certain Subclasses of Bistarlike and Biconvex Functions Based on Quasi-Subordination
title_fullStr Certain Subclasses of Bistarlike and Biconvex Functions Based on Quasi-Subordination
title_full_unstemmed Certain Subclasses of Bistarlike and Biconvex Functions Based on Quasi-Subordination
title_short Certain Subclasses of Bistarlike and Biconvex Functions Based on Quasi-Subordination
title_sort certain subclasses of bistarlike and biconvex functions based on quasi subordination
url http://dx.doi.org/10.1155/2016/3102960
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AT vitalraokupparaobalaji certainsubclassesofbistarlikeandbiconvexfunctionsbasedonquasisubordination
AT jagadesanyamini certainsubclassesofbistarlikeandbiconvexfunctionsbasedonquasisubordination