Research Article

Coefficient bounds for new subclasses of bi-univalent functions

Volume: 4 Number: 3 September 30, 2016
  • Bilal Seker *
  • Veysi Mehmetoglu
EN

Coefficient bounds for new subclasses of bi-univalent functions

Abstract

In the present paper, introduction of new subclasses of bi-univalent functions in the open disk was defined. Moreover,by using Salagean operator,in these new subclasses for functions, upper bounds for the second and third coefficients were found. Presented results are a generalization of the results obtained by Srivastava et al.[12], Frasin and Aouf [7] and Çağlar et al.[5].


Keywords

References

  1. Altankaya Ş., Yalçın S., Faber polynomial coefficient bounds for a subclass of bi-univalent functions, Stud. Univ. Babeş-Bolyai Math. 61 (1) (2016) 37-44.
  2. Altankaya Ş., Yalçın S., Faber polynomial coefficient bounds for a subclass of bi-univalent functions, C. R. Acad. Sci. Paris, Ser. I 353 (12) (2015) 1075-1080.
  3. Ali R.M., Lee S.K., Ravichandran V. , Supramaniam S., Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions, Applied Mathematics Letters, 25 (2012) 344-351.
  4. Brannan D.A., Taha T.S., On some classes of bi-univalent functions, in: S.M. Mazhar, A. Hamoui, N.S. Faour (Eds.), Mathematical Analysis and Its Applications, Kuwait; February 18-21, 1985, in: KFAS Proceedings Series, vol. 3, Pergamon Press, Elsevier Science Limited, Oxford, 1988, pp. 53-60. See also Studia Univ. Babeş-Bolyai Math. 31 (2) (1986) 70-77.
  5. Çağlar M., Orhan H. and Yağmur N., Coefficient bounds for new subclasses of bi-univalent functions, Filomat 27(7) (2013),1165-1171.
  6. Duren P.L., Univalent Functions, in: Grundlehren der Mathematischen Wissenschaften, Band 259, Springer-Verlag, New York, Berlin, Heidelberg and Tokyo, 1983.
  7. Frasin B.A. and Aouf M.K., New subclasses of bi-univalent functions, Applied Mathematics Letters, 24 (2011), 1569-1573.
  8. Lewin M. , On a coefficient problem for bi-univalent functions, Proc. Amer. Math. Soc. 18 (1967) 63-68.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Bilal Seker * This is me
Türkiye

Veysi Mehmetoglu This is me
Türkiye

Publication Date

September 30, 2016

Submission Date

March 26, 2016

Acceptance Date

June 20, 2016

Published in Issue

Year 2016 Volume: 4 Number: 3

APA
Seker, B., & Mehmetoglu, V. (2016). Coefficient bounds for new subclasses of bi-univalent functions. New Trends in Mathematical Sciences, 4(3), 197-203. https://izlik.org/JA66ZY83PR
AMA
1.Seker B, Mehmetoglu V. Coefficient bounds for new subclasses of bi-univalent functions. New Trends in Mathematical Sciences. 2016;4(3):197-203. https://izlik.org/JA66ZY83PR
Chicago
Seker, Bilal, and Veysi Mehmetoglu. 2016. “Coefficient Bounds for New Subclasses of Bi-Univalent Functions”. New Trends in Mathematical Sciences 4 (3): 197-203. https://izlik.org/JA66ZY83PR.
EndNote
Seker B, Mehmetoglu V (September 1, 2016) Coefficient bounds for new subclasses of bi-univalent functions. New Trends in Mathematical Sciences 4 3 197–203.
IEEE
[1]B. Seker and V. Mehmetoglu, “Coefficient bounds for new subclasses of bi-univalent functions”, New Trends in Mathematical Sciences, vol. 4, no. 3, pp. 197–203, Sept. 2016, [Online]. Available: https://izlik.org/JA66ZY83PR
ISNAD
Seker, Bilal - Mehmetoglu, Veysi. “Coefficient Bounds for New Subclasses of Bi-Univalent Functions”. New Trends in Mathematical Sciences 4/3 (September 1, 2016): 197-203. https://izlik.org/JA66ZY83PR.
JAMA
1.Seker B, Mehmetoglu V. Coefficient bounds for new subclasses of bi-univalent functions. New Trends in Mathematical Sciences. 2016;4:197–203.
MLA
Seker, Bilal, and Veysi Mehmetoglu. “Coefficient Bounds for New Subclasses of Bi-Univalent Functions”. New Trends in Mathematical Sciences, vol. 4, no. 3, Sept. 2016, pp. 197-03, https://izlik.org/JA66ZY83PR.
Vancouver
1.Bilal Seker, Veysi Mehmetoglu. Coefficient bounds for new subclasses of bi-univalent functions. New Trends in Mathematical Sciences [Internet]. 2016 Sep. 1;4(3):197-203. Available from: https://izlik.org/JA66ZY83PR