Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves

Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves

ABSTRACT In this paper we de_ne the subclass 𝒫𝒮ℒλ 8, Σ(α,ࣤp(z)) of the class Σ of bi-univalent functions defined in the unit disk, called λ-bi-pseudo-starlike, with respect to symmetric points, related to shell-...

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Autores principales: Özlem Güney,H., Murugusundaramoorthy,G., Vijaya,K.
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2021
Materias:
Analytic functions
bi-univalent
shell-like curve
Fibonacci numbers
starlike functions
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200299
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spelling oai:scielo:S0719-064620210002002992021-08-18Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curvesÖzlem Güney,H.Murugusundaramoorthy,G.Vijaya,K. Analytic functions bi-univalent shell-like curve Fibonacci numbers starlike functions ABSTRACT In this paper we de_ne the subclass 𝒫𝒮ℒλ 8, Σ(α,ࣤp(z)) of the class Σ of bi-univalent functions defined in the unit disk, called λ-bi-pseudo-starlike, with respect to symmetric points, related to shell-like curves connected with Fibonacci numbers. We determine the initial Taylor-Maclaurin coefficients |a2| and |a3| for functions f ∈ 𝒫𝒮ℒλ 8, Σ(α,ࣤp(z)). Further we determine the Fekete-Szegö result for the function class 𝒫𝒮ℒλ 8, Σ(α,ࣤp(z)) and for the special cases α = 0, α = 1 and τ = -0:618 we state corollaries improving the initial Taylor-Maclaurin coefficients |a2| and |a3|info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.23 n.2 20212021-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200299en10.4067/S0719-06462021000200299
institution Scielo Chile
collection Scielo Chile
language English
topic Analytic functions
bi-univalent
shell-like curve
Fibonacci numbers
starlike functions
spellingShingle Analytic functions
bi-univalent
shell-like curve
Fibonacci numbers
starlike functions
Özlem Güney,H.
Murugusundaramoorthy,G.
Vijaya,K.
Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves
description ABSTRACT In this paper we de_ne the subclass 𝒫𝒮ℒλ 8, Σ(α,ࣤp(z)) of the class Σ of bi-univalent functions defined in the unit disk, called λ-bi-pseudo-starlike, with respect to symmetric points, related to shell-like curves connected with Fibonacci numbers. We determine the initial Taylor-Maclaurin coefficients |a2| and |a3| for functions f ∈ 𝒫𝒮ℒλ 8, Σ(α,ࣤp(z)). Further we determine the Fekete-Szegö result for the function class 𝒫𝒮ℒλ 8, Σ(α,ࣤp(z)) and for the special cases α = 0, α = 1 and τ = -0:618 we state corollaries improving the initial Taylor-Maclaurin coefficients |a2| and |a3|
author Özlem Güney,H.
Murugusundaramoorthy,G.
Vijaya,K.
author_facet Özlem Güney,H.
Murugusundaramoorthy,G.
Vijaya,K.
author_sort Özlem Güney,H.
title Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves
title_short Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves
title_full Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves
title_fullStr Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves
title_full_unstemmed Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves
title_sort subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2021
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200299
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AT murugusundaramoorthyg subclassesof955bipseudostarlikefunctionswithrespecttosymmetricpointsbasedonshelllikecurves
AT vijayak subclassesof955bipseudostarlikefunctionswithrespecttosymmetricpointsbasedonshelllikecurves
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