Research Article

On new subclasses of bi-univalent functions defined by generalized Sălăgean differential operator

Volume: 68 Number: 1 February 1, 2019
EN

On new subclasses of bi-univalent functions defined by generalized Sălăgean differential operator

Abstract

The aim of this investigation is to introduce two new subclasses of the class σ related with the generalized Sălăgean differential operator and find estimates on the coefficients |a₂| and |a₃| for functions in these new subclasses. Moreover, we give some interesting results by using the relationship between Sălăgean's differential operator and generalized Sălăgean differential operator.

Keywords

References

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  7. Orhan H., Toklu E., and Kadıoğlu E., Second Hankel determinant problem for k-bi-starlike functions, Filomat, 31:12 (2017), 3897-3904.
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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

February 19, 2018

Acceptance Date

April 12, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Toklu, E., Aktaş, İ., & Sağsöz, F. (2019). On new subclasses of bi-univalent functions defined by generalized Sălăgean differential operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 776-783. https://doi.org/10.31801/cfsuasmas.475818
AMA
1.Toklu E, Aktaş İ, Sağsöz F. On new subclasses of bi-univalent functions defined by generalized Sălăgean differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):776-783. doi:10.31801/cfsuasmas.475818
Chicago
Toklu, Evrim, İbrahim Aktaş, and Fatma Sağsöz. 2019. “On New Subclasses of Bi-Univalent Functions Defined by Generalized Sălăgean Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 776-83. https://doi.org/10.31801/cfsuasmas.475818.
EndNote
Toklu E, Aktaş İ, Sağsöz F (February 1, 2019) On new subclasses of bi-univalent functions defined by generalized Sălăgean differential operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 776–783.
IEEE
[1]E. Toklu, İ. Aktaş, and F. Sağsöz, “On new subclasses of bi-univalent functions defined by generalized Sălăgean differential operator”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 776–783, Feb. 2019, doi: 10.31801/cfsuasmas.475818.
ISNAD
Toklu, Evrim - Aktaş, İbrahim - Sağsöz, Fatma. “On New Subclasses of Bi-Univalent Functions Defined by Generalized Sălăgean Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 776-783. https://doi.org/10.31801/cfsuasmas.475818.
JAMA
1.Toklu E, Aktaş İ, Sağsöz F. On new subclasses of bi-univalent functions defined by generalized Sălăgean differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:776–783.
MLA
Toklu, Evrim, et al. “On New Subclasses of Bi-Univalent Functions Defined by Generalized Sălăgean Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 776-83, doi:10.31801/cfsuasmas.475818.
Vancouver
1.Evrim Toklu, İbrahim Aktaş, Fatma Sağsöz. On new subclasses of bi-univalent functions defined by generalized Sălăgean differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):776-83. doi:10.31801/cfsuasmas.475818

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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