Araştırma Makalesi

Coefficient bounds for new subclasses of bi-univalent functions

Cilt: 4 Sayı: 3 30 Eylül 2016
  • Bilal Seker *
  • Veysi Mehmetoglu
PDF İndir
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

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Bilal Seker * Bu kişi benim
Türkiye

Veysi Mehmetoglu Bu kişi benim
Türkiye

Yayımlanma Tarihi

30 Eylül 2016

Gönderilme Tarihi

26 Mart 2016

Kabul Tarihi

20 Haziran 2016

Yayımlandığı Sayı

Yıl 2016 Cilt: 4 Sayı: 3

Kaynak Göster

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, ve 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 (01 Eylül 2016) Coefficient bounds for new subclasses of bi-univalent functions. New Trends in Mathematical Sciences 4 3 197–203.
IEEE
[1]B. Seker ve V. Mehmetoglu, “Coefficient bounds for new subclasses of bi-univalent functions”, New Trends in Mathematical Sciences, c. 4, sy 3, ss. 197–203, Eyl. 2016, [çevrimiçi]. Erişim adresi: 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 (01 Eylül 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, ve Veysi Mehmetoglu. “Coefficient bounds for new subclasses of bi-univalent functions”. New Trends in Mathematical Sciences, c. 4, sy 3, Eylül 2016, ss. 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]. 01 Eylül 2016;4(3):197-203. Erişim adresi: https://izlik.org/JA66ZY83PR