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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
https://izlik.org/JA43GK69AA

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
https://izlik.org/JA43GK69AA

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
Authors

Serap Bulut This is me

Publication Date February 1, 2017
DOI https://doi.org/10.1501/Commua1_0000000780
IZ https://izlik.org/JA43GK69AA
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 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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