Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator

Volume: 66 Number: 1 February 1, 2017
  • Serap Bulut
EN

Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator

Abstract

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References

  1. A. Aral, V. Gupta and R.P. Agarwal, Applications of q-Calculus in Operator Theory, Springer, New York, USA, 2013.
  2. D.A. Brannan and T.S. Taha, On some classes of bi-univalent functions, in Mathematical Analysis and Its Applications (S. M. Mazhar, A. Hamoui and N. S. Faour, Editors) (Kuwait; February 18–21, 1985), KFAS Proceedings Series, Vol. 3, Pergamon Press (Elsevier Science Limited), Oxford, 1988, pp. 53–60; see also Studia Univ. Babe¸s -Bolyai Math. 31 (2) (1986), 70–77.
  3. P.L. Duren, Univalent Functions, in: Grundlehren der Mathematischen Wissenschaften, vol. 259, Springer, New York, 1983.
  4. B.A. Frasin and M.K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett. 24 (2011) 1569–1573.
  5. F.H. Jackson, On q-de…nite integrals, Quarterly J. Pure Appl. Math. 41 (1910), 193-203.
  6. F.H. Jackson, On q-functions and a certain diğ erence operator, Transactions of the Royal Society of Edinburgh 46 (1908), 253-281.
  7. Ch. Pommerenke, Univalent Functions, Vandenhoeck and Rupercht, Göttingen, 1975.
  8. H.M. Srivastava, A.K. Mishra and P. Gochhayat, Certain subclasses of analytic and bi- univalent functions, Appl. Math. Lett. 23 (2010) 1188–1192.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

Serap Bulut This is me

Publication Date

February 1, 2017

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Acceptance Date

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Published in Issue

Year 2017 Volume: 66 Number: 1

APA
Bulut, S. (2017). Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(1), 108-114. https://doi.org/10.1501/Commua1_0000000780
AMA
1.Bulut S. Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(1):108-114. doi:10.1501/Commua1_0000000780
Chicago
Bulut, Serap. 2017. “Certain Subclasses of Analytic and Bi-Univalent Functions Involving the Q-Derivative Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 (1): 108-14. https://doi.org/10.1501/Commua1_0000000780.
EndNote
Bulut S (February 1, 2017) Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 1 108–114.
IEEE
[1]S. Bulut, “Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 1, pp. 108–114, Feb. 2017, doi: 10.1501/Commua1_0000000780.
ISNAD
Bulut, Serap. “Certain Subclasses of Analytic and Bi-Univalent Functions Involving the Q-Derivative Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/1 (February 1, 2017): 108-114. https://doi.org/10.1501/Commua1_0000000780.
JAMA
1.Bulut S. Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:108–114.
MLA
Bulut, Serap. “Certain Subclasses of Analytic and Bi-Univalent Functions Involving the Q-Derivative Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 1, Feb. 2017, pp. 108-14, doi:10.1501/Commua1_0000000780.
Vancouver
1.Serap Bulut. Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017 Feb. 1;66(1):108-14. doi:10.1501/Commua1_0000000780

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