Research Article

Coefficient estimates for bi-concave functions

Volume: 68 Number: 1 February 1, 2019
EN

Coefficient estimates for bi-concave functions

Abstract

In this study,a new class C_{Σ}^{p,q}(α) of analytic and bi-concave functions were presented in the open unit disc. The coefficients estimates on the first two Taylor-Maclaurin coefficients |a₂| and |a₃| were found for functions belonging to this class.

Keywords

References

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  2. Avkhadiev, F. G., Pommerenke, C. and Wirths, K.-J., Sharp inequalities for the coefficient of concave schlicht functions, Comment. Math. Helv. 81(2006), 801-807.
  3. Avkhadiev F. G. and Wirths, K.-J., Concave schlicht functions with bounded opening angle at infinity, Lobachevskii J. Math. 17(2005), 3-10.
  4. Bayram, H. and Altınkaya, Ş., General Properties of Concave Functions Defined by the Generalized Srivastava-Attiya Operator, Journal of Computational Analysis and Applications, 23 3(2017), 408-416.
  5. Bulut, S., Coefficient estimates for a class of analytic and bi-univalent functions, Novi Sad J. Math. 43(2013), no. 2, 59-65.
  6. Brannan, D. A. and Taha, T. S., On some classes of bi-univalent functions , Studia Univ. Babes-Bolyai Math. 2(1986), no. 31, 70-77.
  7. Cruz, L. and Pommerenke, C., On concave univalent functions , Complex Var. Elliptic Equ. 52(2007), 153-159.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

February 10, 2017

Acceptance Date

October 13, 2017

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Sakar, F. M., & Güney, H. Ö. (2019). Coefficient estimates for bi-concave functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 53-60. https://doi.org/10.31801/cfsuasmas.443600
AMA
1.Sakar FM, Güney HÖ. Coefficient estimates for bi-concave functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):53-60. doi:10.31801/cfsuasmas.443600
Chicago
Sakar, F. Müge, and H. Özlem Güney. 2019. “Coefficient Estimates for Bi-Concave Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 53-60. https://doi.org/10.31801/cfsuasmas.443600.
EndNote
Sakar FM, Güney HÖ (February 1, 2019) Coefficient estimates for bi-concave functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 53–60.
IEEE
[1]F. M. Sakar and H. Ö. Güney, “Coefficient estimates for bi-concave functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 53–60, Feb. 2019, doi: 10.31801/cfsuasmas.443600.
ISNAD
Sakar, F. Müge - Güney, H. Özlem. “Coefficient Estimates for Bi-Concave Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 53-60. https://doi.org/10.31801/cfsuasmas.443600.
JAMA
1.Sakar FM, Güney HÖ. Coefficient estimates for bi-concave functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:53–60.
MLA
Sakar, F. Müge, and H. Özlem Güney. “Coefficient Estimates for Bi-Concave Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 53-60, doi:10.31801/cfsuasmas.443600.
Vancouver
1.F. Müge Sakar, H. Özlem Güney. Coefficient estimates for bi-concave functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):53-60. doi:10.31801/cfsuasmas.443600

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

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