Research Article

On a new subclass of bi-univalent functions satisfying subordinate conditions

Volume: 68 Number: 1 February 1, 2019
EN

On a new subclass of bi-univalent functions satisfying subordinate conditions

Abstract

The purpose of our present paper is to introduce a new subclass of bi-univalent functions associated with pseudo-starlike function with Sakaguchi type functions and to determine the coefficient estimates |a₂| and |a₃| for functions in each of this newly-defined class. We also highlight some known consequences of our main results.

Keywords

References

  1. Altınkaya, Ş. and Yalçın, S., On a new sublass of bi-univalent functions of Sakaguchi type satisfying subordinate condition, Malaya J. Mat. 5(2), 2017, 305-309.
  2. Altınkaya, Ş. and Yalçın, S., Coefficient bounds for a subclass of bi-univalent functions, TWMS J. Pure Appl. Math. 6 (2015), 180--185.
  3. Altınkaya, Ş. and Yalçın, S., Coefficient estimates for two new subclasses of bi-univalent functions with respect to symmetric points, J. Funct. Spaces 2015 (2015), Article ID 145242, 1--5.
  4. Altınkaya, Ş. and Yalçın, S., Faber polynomial coefficient bounds for a subclass of bi-univalent functions, C. R. Acad. Sci. Paris Sér. I 353 (2015), 1075--1080.
  5. Ali, R.M., Lee, S.K., Ravichandran, V. and Supramaniam, S., Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions. Appl. Math. Lett. 25, (2012) 344-351.
  6. Babalola, K.O., On λ-pseudo-starlike functions, J. Class. Anal. 3(2), (2013) 137-147.
  7. Brannan, D.A. and Clunie, J.G.(Eds.), Aspects of Contemporary Complex Analysis (Proceedings of the NATO Advanced Study Institute held at the University of Durham, Durham; July 1-20, 1979), Academic Press, New York and London, 1980.
  8. Brannan D.A. and Taha, T.S., On some classes of bi-univalent functions Studia Univ. Babe¸s-Bolyai Math, 31(2), (1986).70-77.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

October 13, 2017

Acceptance Date

April 2, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Mazı, E., & Altınkaya, S. (2019). On a new subclass of bi-univalent functions satisfying subordinate conditions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 724-733. https://doi.org/10.31801/cfsuasmas.464191
AMA
1.Mazı E, Altınkaya S. On a new subclass of bi-univalent functions satisfying subordinate conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):724-733. doi:10.31801/cfsuasmas.464191
Chicago
Mazı, Emeka, and Sahsene Altınkaya. 2019. “On a New Subclass of Bi-Univalent Functions Satisfying Subordinate Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 724-33. https://doi.org/10.31801/cfsuasmas.464191.
EndNote
Mazı E, Altınkaya S (February 1, 2019) On a new subclass of bi-univalent functions satisfying subordinate conditions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 724–733.
IEEE
[1]E. Mazı and S. Altınkaya, “On a new subclass of bi-univalent functions satisfying subordinate conditions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 724–733, Feb. 2019, doi: 10.31801/cfsuasmas.464191.
ISNAD
Mazı, Emeka - Altınkaya, Sahsene. “On a New Subclass of Bi-Univalent Functions Satisfying Subordinate Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 724-733. https://doi.org/10.31801/cfsuasmas.464191.
JAMA
1.Mazı E, Altınkaya S. On a new subclass of bi-univalent functions satisfying subordinate conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:724–733.
MLA
Mazı, Emeka, and Sahsene Altınkaya. “On a New Subclass of Bi-Univalent Functions Satisfying Subordinate Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 724-33, doi:10.31801/cfsuasmas.464191.
Vancouver
1.Emeka Mazı, Sahsene Altınkaya. On a new subclass of bi-univalent functions satisfying subordinate conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):724-33. doi:10.31801/cfsuasmas.464191

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

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