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On some subclasses of m-fold symmetric bi-univalent functions

Year 2018, Volume: 67 Issue: 1, 29 - 36, 01.02.2018
https://doi.org/10.1501/Commua1_0000000827

References

  • Altınkaya, ¸S. and Yalçın, S., Coe¢ cient Estimates for Two New Subclasses of Bi-univalent Functions with respect to Symmetric Points, Journal of Function Spaces Article ID 145242, (2015), 5 pp.
  • Altınkaya, ¸S. and Yalçın, S., Coe¢ cient bounds for certain subclasses of m -fold symmetric bi-univalent functions, Journal of Mathematics Article ID 241683, (2015), 5 pp.
  • Altınkaya, ¸S. and Yalçın, S., Coe¢ cient bounds for certain subclasses of bi-univalent func- tions, Creat. Math. Inform. 24 (2015), 101-106.
  • Altınkaya, ¸S. and Yalçın, S., Construction of second Hankel determinant for a new subclass of bi-univalent functions, Turk. J. Math. (2017), to appear.
  • Duren, P. L., Univalent Functions, Grundlehren der Mathematischen Wissenschaften, Springer, New York, USA, 259, 1983.
  • Frasin, B. A. and Aouf, M. K., New subclasses of bi-univalent functions, Appl. Math. Lett. 24 (2011), 1569-1573.
  • Koepf, W., Coe¢ cient of symmetric functions of bounded boundary rotations, Proc. Amer. Math. Soc. 105 (1989), 324-329.
  • Magesh, N. and Yamini, J., Coe¢ cient bounds for certain subclasses of bi-univalent functions, Int. Math. Forum, 8 (27) (2013), 1337-1344.
  • Murugusundaramoorty, G., Magesh N., Prameela, V., Coe¢ cient bounds for certain classes of bi-univalent function, Abstr. Appl. Anal. Article ID 573017, (2013), 3 pp.
  • Pommerenke, Ch., Univalent Functions, Vandenhoeck & Ruprecht, Göttingen, 1975.
  • Srivastava, H. M., Mishra, A. K. and Gochhayat, P., Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23 (2010), 1188-1192.
  • Srivastava, H. M., Bulut, S., Ça¼glar, M., Ya¼gmur, N., Coe¢ cient estimates for a general subclass of analytic and bi-univalent functions, Filomat 27 (2013), 831–842.
  • Srivastava, H. M., Sivasubramanian, S., Sivakumar, R., Initial coe¢ cient bounds for a sub- class of m -fold symmetric bi-univalent functions, Tbilisi Math. J. 7 (2014), 1-10.
  • Srivastava, H. M., Gaboury, S., Ghanim, F., Coe¢ cient estimates for some subclasses of m -fold symmetric bi-univalent functions, Acta Universitatis Apulensis 41 (2015), 153-164.
  • Srivastava, H. M., Sümer Eker, S., Ali, R. M., Coe¢ cient bounds for a certain class of analytic and bi-univalent functions, Filomat 29 (2015), 1839-1845.
  • Srivastava, H. M., Bansal, D., Coe¢ cient estimates for a subclass of analytic and bi-univalent functions, J. Egyptian Math. Soc. 23 (2015), 242–246.
  • Srivastava, H. M., Gaboury, S., Ghanim, F., Initial coe¢ cient estimates for some subclasses of m -fold symmetric bi-univalent functions, Acta Mathematica Scientia 36B (2016), 863–871. [18] Sümer Eker, S., Coe¢ cient bounds for subclasses of m -fold symmetric bi-univalent functions, Turk. J. Math. 40 (2016), 641–646.
  • Tang, H., Srivastava, H. M., Sivasubramanian, S., Gurusamy, P., The Fekete-Szegö func- tional problems for some subclasses of m -fold symmetric bi-univalent functions, Journal of Mathematical Inequalities 10 (2016), 1063-1092.
  • Xu, Q.-H., Gui, Y.-C., Srivastava, H. M., Coe¢ cient estimates for a certain subclass of analytic and bi-univalent functions, Appl. Math. Lett. 25 (2012), 990-994.
  • Xu, Q.-H., Xiao, H.-G., Srivastava, H. M., A certain general subclass of analytic and bi- univalent functions and associated coe¢ cient estimates problems, Appl. Math. Comput. 218 (2012), 11461-11465.
Year 2018, Volume: 67 Issue: 1, 29 - 36, 01.02.2018
https://doi.org/10.1501/Commua1_0000000827

References

  • Altınkaya, ¸S. and Yalçın, S., Coe¢ cient Estimates for Two New Subclasses of Bi-univalent Functions with respect to Symmetric Points, Journal of Function Spaces Article ID 145242, (2015), 5 pp.
  • Altınkaya, ¸S. and Yalçın, S., Coe¢ cient bounds for certain subclasses of m -fold symmetric bi-univalent functions, Journal of Mathematics Article ID 241683, (2015), 5 pp.
  • Altınkaya, ¸S. and Yalçın, S., Coe¢ cient bounds for certain subclasses of bi-univalent func- tions, Creat. Math. Inform. 24 (2015), 101-106.
  • Altınkaya, ¸S. and Yalçın, S., Construction of second Hankel determinant for a new subclass of bi-univalent functions, Turk. J. Math. (2017), to appear.
  • Duren, P. L., Univalent Functions, Grundlehren der Mathematischen Wissenschaften, Springer, New York, USA, 259, 1983.
  • Frasin, B. A. and Aouf, M. K., New subclasses of bi-univalent functions, Appl. Math. Lett. 24 (2011), 1569-1573.
  • Koepf, W., Coe¢ cient of symmetric functions of bounded boundary rotations, Proc. Amer. Math. Soc. 105 (1989), 324-329.
  • Magesh, N. and Yamini, J., Coe¢ cient bounds for certain subclasses of bi-univalent functions, Int. Math. Forum, 8 (27) (2013), 1337-1344.
  • Murugusundaramoorty, G., Magesh N., Prameela, V., Coe¢ cient bounds for certain classes of bi-univalent function, Abstr. Appl. Anal. Article ID 573017, (2013), 3 pp.
  • Pommerenke, Ch., Univalent Functions, Vandenhoeck & Ruprecht, Göttingen, 1975.
  • Srivastava, H. M., Mishra, A. K. and Gochhayat, P., Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23 (2010), 1188-1192.
  • Srivastava, H. M., Bulut, S., Ça¼glar, M., Ya¼gmur, N., Coe¢ cient estimates for a general subclass of analytic and bi-univalent functions, Filomat 27 (2013), 831–842.
  • Srivastava, H. M., Sivasubramanian, S., Sivakumar, R., Initial coe¢ cient bounds for a sub- class of m -fold symmetric bi-univalent functions, Tbilisi Math. J. 7 (2014), 1-10.
  • Srivastava, H. M., Gaboury, S., Ghanim, F., Coe¢ cient estimates for some subclasses of m -fold symmetric bi-univalent functions, Acta Universitatis Apulensis 41 (2015), 153-164.
  • Srivastava, H. M., Sümer Eker, S., Ali, R. M., Coe¢ cient bounds for a certain class of analytic and bi-univalent functions, Filomat 29 (2015), 1839-1845.
  • Srivastava, H. M., Bansal, D., Coe¢ cient estimates for a subclass of analytic and bi-univalent functions, J. Egyptian Math. Soc. 23 (2015), 242–246.
  • Srivastava, H. M., Gaboury, S., Ghanim, F., Initial coe¢ cient estimates for some subclasses of m -fold symmetric bi-univalent functions, Acta Mathematica Scientia 36B (2016), 863–871. [18] Sümer Eker, S., Coe¢ cient bounds for subclasses of m -fold symmetric bi-univalent functions, Turk. J. Math. 40 (2016), 641–646.
  • Tang, H., Srivastava, H. M., Sivasubramanian, S., Gurusamy, P., The Fekete-Szegö func- tional problems for some subclasses of m -fold symmetric bi-univalent functions, Journal of Mathematical Inequalities 10 (2016), 1063-1092.
  • Xu, Q.-H., Gui, Y.-C., Srivastava, H. M., Coe¢ cient estimates for a certain subclass of analytic and bi-univalent functions, Appl. Math. Lett. 25 (2012), 990-994.
  • Xu, Q.-H., Xiao, H.-G., Srivastava, H. M., A certain general subclass of analytic and bi- univalent functions and associated coe¢ cient estimates problems, Appl. Math. Comput. 218 (2012), 11461-11465.
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Details

Primary Language English
Journal Section Research Articles
Authors

Şahsene Altınkaya This is me

Sibel Yalçın This is me

Publication Date February 1, 2018
Published in Issue Year 2018 Volume: 67 Issue: 1

Cite

APA Altınkaya, Ş., & Yalçın, S. (2018). On some subclasses of m-fold symmetric bi-univalent functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(1), 29-36. https://doi.org/10.1501/Commua1_0000000827
AMA Altınkaya Ş, Yalçın S. On some subclasses of m-fold symmetric bi-univalent functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2018;67(1):29-36. doi:10.1501/Commua1_0000000827
Chicago Altınkaya, Şahsene, and Sibel Yalçın. “On Some Subclasses of M-Fold Symmetric Bi-Univalent Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, no. 1 (February 2018): 29-36. https://doi.org/10.1501/Commua1_0000000827.
EndNote Altınkaya Ş, Yalçın S (February 1, 2018) On some subclasses of m-fold symmetric bi-univalent functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 1 29–36.
IEEE Ş. Altınkaya and S. Yalçın, “On some subclasses of m-fold symmetric bi-univalent functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 1, pp. 29–36, 2018, doi: 10.1501/Commua1_0000000827.
ISNAD Altınkaya, Şahsene - Yalçın, Sibel. “On Some Subclasses of M-Fold Symmetric Bi-Univalent Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/1 (February 2018), 29-36. https://doi.org/10.1501/Commua1_0000000827.
JAMA Altınkaya Ş, Yalçın S. On some subclasses of m-fold symmetric bi-univalent functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:29–36.
MLA Altınkaya, Şahsene and Sibel Yalçın. “On Some Subclasses of M-Fold Symmetric Bi-Univalent Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 1, 2018, pp. 29-36, doi:10.1501/Commua1_0000000827.
Vancouver Altınkaya Ş, Yalçın S. On some subclasses of m-fold symmetric bi-univalent functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(1):29-36.

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