Bounds on Initial Coefficients for a Certain New Subclass of Bi-univalent Functions by Means of Faber Polynomial Expansions

F. Müge Sakar; S. Melike Aydoğan

doi:10.1007/s11786-019-00406-7

Bounds on Initial Coefficients for a Certain New Subclass of Bi-univalent Functions by Means of Faber Polynomial Expansions

F. Müge Sakar^*, S. Melike Aydoğan

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Batman University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

2 Atıf (Scopus)

Özet

In this paper, we present a new subclass T_Σ(μ) of bi univalent functions belong to Σ in the open unit disc U={z:z∈Cand|z|<1}. Then, we use the concepts of Faber polynomial expansions to find upper bound for the general coefficient of such functions belongs to the defined class. Further, for the functions in this subclass we obtain bound on first three coefficients | a₂| , | a₃| and | a₄|. We hope that this paper will inspire future researchers in applying our approach to other related problems.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	441-447
Sayfa sayısı	7
Dergi	Mathematics in Computer Science
Hacim	13
Basın numarası	3
DOI'lar	https://doi.org/10.1007/s11786-019-00406-7
Yayın durumu	Yayınlandı - 1 Eyl 2019

Bibliyografik not

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

Finansman

The work presented here is supported by Batman University Scientific Research Project Coordination Unit. Project Number: BTUBAP-2018-IIBF-2 and by Istanbul Technical University Scientific Research Project Coordination Unit. Project Number:TGA-2018-41339. The work presented here is supported by Batman University Scientific Research Project Coordination Unit. Project Number: BTUBAP-2018-IIBF-2 and by Istanbul Technical University Scientific Research Project Coordination Unit. Project Number:TGA-2018-41339.

Finansörler	Finansör numarası
Istanbul Technical University Scientific Research Project Coordination Unit
Istanbul Teknik Üniversitesi	TGA-2018-41339
Firat University Scientific Research Projects Management Unit	BTUBAP-2018-IIBF-2
Ajman University

Belgeye Erişim

10.1007/s11786-019-00406-7

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{7c2fe793f4904e79a84a717f50cc6546,

title = "Bounds on Initial Coefficients for a Certain New Subclass of Bi-univalent Functions by Means of Faber Polynomial Expansions",

abstract = "In this paper, we present a new subclass TΣ(μ) of bi univalent functions belong to Σ in the open unit disc U={z:z∈Cand|z|<1}. Then, we use the concepts of Faber polynomial expansions to find upper bound for the general coefficient of such functions belongs to the defined class. Further, for the functions in this subclass we obtain bound on first three coefficients | a2| , | a3| and | a4|. We hope that this paper will inspire future researchers in applying our approach to other related problems.",

keywords = "Analytic functions, Bi-univalent functions, Faber polynomial expansions, Univalent functions",

author = "Sakar, {F. M{\"u}ge} and Aydoğan, {S. Melike}",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",

year = "2019",

month = sep,

day = "1",

doi = "10.1007/s11786-019-00406-7",

language = "English",

volume = "13",

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journal = "Mathematics in Computer Science",

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T1 - Bounds on Initial Coefficients for a Certain New Subclass of Bi-univalent Functions by Means of Faber Polynomial Expansions

AU - Sakar, F. Müge

AU - Aydoğan, S. Melike

PY - 2019/9/1

Y1 - 2019/9/1

N2 - In this paper, we present a new subclass TΣ(μ) of bi univalent functions belong to Σ in the open unit disc U={z:z∈Cand|z|<1}. Then, we use the concepts of Faber polynomial expansions to find upper bound for the general coefficient of such functions belongs to the defined class. Further, for the functions in this subclass we obtain bound on first three coefficients | a2| , | a3| and | a4|. We hope that this paper will inspire future researchers in applying our approach to other related problems.

AB - In this paper, we present a new subclass TΣ(μ) of bi univalent functions belong to Σ in the open unit disc U={z:z∈Cand|z|<1}. Then, we use the concepts of Faber polynomial expansions to find upper bound for the general coefficient of such functions belongs to the defined class. Further, for the functions in this subclass we obtain bound on first three coefficients | a2| , | a3| and | a4|. We hope that this paper will inspire future researchers in applying our approach to other related problems.

KW - Analytic functions

KW - Bi-univalent functions

KW - Faber polynomial expansions

KW - Univalent functions

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U2 - 10.1007/s11786-019-00406-7

DO - 10.1007/s11786-019-00406-7

M3 - Article

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SN - 1661-8270

VL - 13

SP - 441

EP - 447

JO - Mathematics in Computer Science

JF - Mathematics in Computer Science

IS - 3

ER -

Bounds on Initial Coefficients for a Certain New Subclass of Bi-univalent Functions by Means of Faber Polynomial Expansions

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap