{"title":"ON λ-PSEUDO BI-STARLIKE FUNCTIONS IN PARABOLIC DOMAIN","authors":"G. Murugusundaramoorthy, N. Cho","doi":"10.22771/NFAA.2019.24.01.12","DOIUrl":null,"url":null,"abstract":"In this paper we introduce a new class L^ λ_{ p, Σ} ( φ_ α ) of λ -pseudo bi-starlike functions in parabolic domain and determine the bounds for | a_ 2 | and | a_ 3 | where a_ 2 , a_ 3 are the initial Taylor coefficients of f ∈ L_ λ_{ p, Σ} ( φ_ α ) . Furthermore, we estimate the Fekete-Szego functional for L^ λ_{ p, Σ} ( φ_ α ).","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2019-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Functional Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22771/NFAA.2019.24.01.12","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we introduce a new class L^ λ_{ p, Σ} ( φ_ α ) of λ -pseudo bi-starlike functions in parabolic domain and determine the bounds for | a_ 2 | and | a_ 3 | where a_ 2 , a_ 3 are the initial Taylor coefficients of f ∈ L_ λ_{ p, Σ} ( φ_ α ) . Furthermore, we estimate the Fekete-Szego functional for L^ λ_{ p, Σ} ( φ_ α ).
期刊介绍:
The international mathematical journal NFAA will publish carefully selected original research papers on nonlinear functional analysis and applications, that is, ordinary differential equations, all kinds of partial differential equations, functional differential equations, integrodifferential equations, control theory, approximation theory, optimal control, optimization theory, numerical analysis, variational inequality, asymptotic behavior, fixed point theory, dynamic systems and complementarity problems. Papers for publication will be communicated and recommended by the members of the Editorial Board.