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

Yıl 2018, Cilt: 67 Sayı: 1, 29 - 36, 01.02.2018

Şahsene Altınkaya Sibel Yalçın

https://doi.org/10.1501/Commua1_0000000827

Cited By: 9

Anahtar Kelimeler

Analytic functions, m -fold symmetric bi-univalent functions, coe¢ cient bounds

Kaynakça

• 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.