On The Fekete-Szegö Problem for Generalized Class M α,γ(β) Defined By Differential Operator

Fethiye Müge Sakar; Sultan Aytaş; Hatun Özlem Güney

doi:10.19113/sdufbed.12069

On The Fekete-Szegö Problem for Generalized Class Mα,γ(β) Defined By Differential Operator

Abstract

In this study the classical Fekete-Szegö problem was investigated. Given f(z)=z+a₂z²+a₃z³+... to be an analytic standartly normalized function in the open unit disk U={z ∈ C : |z|<1}. For |a₃-μa₂²|, a sharp maximum value is provided through the classes of S^*_α,γ(β) order β and type α under the condition of μ≥1.

Keywords

Univalent functions,Analytic; Starlike; Convex; Fekete-Szegö problem

References

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Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Fethiye Müge Sakar This is me

Sultan Aytaş This is me

Hatun Özlem Güney

Publication Date

November 11, 2016

Submission Date

October 4, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 20 Number: 3

DOI

https://doi.org/10.19113/sdufbed.12069

IZ

https://izlik.org/JA72MA34CC

Cite

RIS / Bibtex

APA

Sakar, F. M., Aytaş, S., & Güney, H. Ö. (2016). On The Fekete-Szegö Problem for Generalized Class Mα,γ(β) Defined By Differential Operator. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20(3), 456-459. https://doi.org/10.19113/sdufbed.12069

AMA

1.Sakar FM, Aytaş S, Güney HÖ. On The Fekete-Szegö Problem for Generalized Class Mα,γ(β) Defined By Differential Operator. J. Nat. Appl. Sci. 2016;20(3):456-459. doi:10.19113/sdufbed.12069

Chicago

Sakar, Fethiye Müge, Sultan Aytaş, and Hatun Özlem Güney. 2016. “On The Fekete-Szegö Problem for Generalized Class Mα,γ(β) Defined By Differential Operator”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 (3): 456-59. https://doi.org/10.19113/sdufbed.12069.

EndNote

Sakar FM, Aytaş S, Güney HÖ (December 1, 2016) On The Fekete-Szegö Problem for Generalized Class Mα,γ(β) Defined By Differential Operator. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 3 456–459.

IEEE

[1]F. M. Sakar, S. Aytaş, and H. Ö. Güney, “On The Fekete-Szegö Problem for Generalized Class Mα,γ(β) Defined By Differential Operator”, J. Nat. Appl. Sci., vol. 20, no. 3, pp. 456–459, Dec. 2016, doi: 10.19113/sdufbed.12069.

ISNAD

Sakar, Fethiye Müge - Aytaş, Sultan - Güney, Hatun Özlem. “On The Fekete-Szegö Problem for Generalized Class Mα,γ(β) Defined By Differential Operator”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20/3 (December 1, 2016): 456-459. https://doi.org/10.19113/sdufbed.12069.

JAMA

1.Sakar FM, Aytaş S, Güney HÖ. On The Fekete-Szegö Problem for Generalized Class Mα,γ(β) Defined By Differential Operator. J. Nat. Appl. Sci. 2016;20:456–459.

MLA

Sakar, Fethiye Müge, et al. “On The Fekete-Szegö Problem for Generalized Class Mα,γ(β) Defined By Differential Operator”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 20, no. 3, Dec. 2016, pp. 456-9, doi:10.19113/sdufbed.12069.

Vancouver

1.Fethiye Müge Sakar, Sultan Aytaş, Hatun Özlem Güney. On The Fekete-Szegö Problem for Generalized Class Mα,γ(β) Defined By Differential Operator. J. Nat. Appl. Sci. 2016 Dec. 1;20(3):456-9. doi:10.19113/sdufbed.12069

On The Fekete-Szegö Problem for Generalized Class <i>M</i>α,γ(β) Defined By Differential Operator