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

Year 2017, Volume: 66 Issue: 1, 108 - 114, 01.02.2017
https://doi.org/10.1501/Commua1_0000000780

References

  • A. Aral, V. Gupta and R.P. Agarwal, Applications of q-Calculus in Operator Theory, Springer, New York, USA, 2013.
  • 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.
  • P.L. Duren, Univalent Functions, in: Grundlehren der Mathematischen Wissenschaften, vol. 259, Springer, New York, 1983.
  • B.A. Frasin and M.K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett. 24 (2011) 1569–1573.
  • F.H. Jackson, On q-de…nite integrals, Quarterly J. Pure Appl. Math. 41 (1910), 193-203.
  • F.H. Jackson, On q-functions and a certain diğ erence operator, Transactions of the Royal Society of Edinburgh 46 (1908), 253-281.
  • Ch. Pommerenke, Univalent Functions, Vandenhoeck and Rupercht, Göttingen, 1975.
  • H.M. Srivastava, A.K. Mishra and P. Gochhayat, Certain subclasses of analytic and bi- univalent functions, Appl. Math. Lett. 23 (2010) 1188–1192.
  • Q.-H. Xu, Y.-C. Gui and H.M. Srivastava, Coe¢ cient estimates for a certain subclass of analytic and bi-univalent functions, Appl. Math. Lett. 25 (2012) 990–994.
  • Q.-H. Xu, H.-G. Xiao and H.M. Srivastava, A certain general subclass of analytic and bi
  • univalent functions and associated coe¢ cient estimate problems, Appl. Math. Comput. 218 (2012) 11461–11465.
  • Current address : Serap BULUT
  • Kocaeli University, Faculty of Aviation and Space Sciences, Arslanbey Campus, 41285 Kartepe
  • Kocaeli, TURKEY E-mail address : serap.bulut@kocaeli.edu.tr
Year 2017, Volume: 66 Issue: 1, 108 - 114, 01.02.2017
https://doi.org/10.1501/Commua1_0000000780

References

  • A. Aral, V. Gupta and R.P. Agarwal, Applications of q-Calculus in Operator Theory, Springer, New York, USA, 2013.
  • 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.
  • P.L. Duren, Univalent Functions, in: Grundlehren der Mathematischen Wissenschaften, vol. 259, Springer, New York, 1983.
  • B.A. Frasin and M.K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett. 24 (2011) 1569–1573.
  • F.H. Jackson, On q-de…nite integrals, Quarterly J. Pure Appl. Math. 41 (1910), 193-203.
  • F.H. Jackson, On q-functions and a certain diğ erence operator, Transactions of the Royal Society of Edinburgh 46 (1908), 253-281.
  • Ch. Pommerenke, Univalent Functions, Vandenhoeck and Rupercht, Göttingen, 1975.
  • H.M. Srivastava, A.K. Mishra and P. Gochhayat, Certain subclasses of analytic and bi- univalent functions, Appl. Math. Lett. 23 (2010) 1188–1192.
  • Q.-H. Xu, Y.-C. Gui and H.M. Srivastava, Coe¢ cient estimates for a certain subclass of analytic and bi-univalent functions, Appl. Math. Lett. 25 (2012) 990–994.
  • Q.-H. Xu, H.-G. Xiao and H.M. Srivastava, A certain general subclass of analytic and bi
  • univalent functions and associated coe¢ cient estimate problems, Appl. Math. Comput. 218 (2012) 11461–11465.
  • Current address : Serap BULUT
  • Kocaeli University, Faculty of Aviation and Space Sciences, Arslanbey Campus, 41285 Kartepe
  • Kocaeli, TURKEY E-mail address : serap.bulut@kocaeli.edu.tr
There are 14 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Serap Bulut This is me

Publication Date February 1, 2017
Published in Issue Year 2017 Volume: 66 Issue: 1

Cite

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 Bulut S. Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2017;66(1):108-114. doi:10.1501/Commua1_0000000780
Chicago 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, no. 1 (February 2017): 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 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, 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 2017), 108-114. https://doi.org/10.1501/Commua1_0000000780.
JAMA 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, 2017, pp. 108-14, doi:10.1501/Commua1_0000000780.
Vancouver 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):108-14.

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