On a new subclass of bi-univalent functions satisfying subordinate conditions

[1] S. Altinkaya, S. Yalcin, Initial coefficient bounds for a general class of biunivalent functions, International Journal of Analysis, Article ID 867871, (2014), 4 pp.10.1155/2014/867871Search in Google Scholar

[2] S. Altinkaya, S. Yalcin, Coefficient bounds for a subclass of bi-univalent functions, TWMS Journal of Pure and Applied Mathematics, in press.Search in Google Scholar

[3] S. Altinkaya, S. Yalcin, Fekete-Szeg¨o Inequalities for certain classes of biunivalent functions, International Scholarly Research Notices, Article ID 327962, (2014) 6 pp.10.1155/2014/327962Search in Google Scholar

[4] D. A. Brannan, T. S. Taha, On some classes of bi-univalent functions, Studia Universitatis Babe¸s-Bolyai. Mathematica, 31 (2) (1986), 70-77.Search in Google Scholar

[5] D. A. Brannan, J. G. Clunie, Aspects of comtemporary complex analysis, (Proceedings of the NATO Advanced Study Institute, Held at University of Durham: July 1-20, 1979). New York: Academic Press, (1980).Search in Google Scholar

[6] S. Bulut, Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions, C. R. Acad. Sci. Paris, Ser. I, in press.Search in Google Scholar

[7] O. Cri，san, Coefficient estimates for certain subclasses of bi-univalent functions, Gen. Math. Notes, 16 (2) (2013), 93-102.10.1186/1029-242X-2013-317Search in Google Scholar

[8] P. L. Duren, Univalent Functions, Grundlehren der Mathematischen Wissenschaften, Springer, New York, NY, USA, 259 (1983).Search in Google Scholar

[9] B. A. Frasin, M. K. Aouf, New subclasses of bi-univalent functions, Applied Mathematics Letters, 24 (2011), 1569-1573.10.1016/j.aml.2011.03.048Search in Google Scholar

[10] S. G. Hamidi and J. M. Jahangiri, Faber polynomial coefficient estimates for analytic bi-close-to-convex functions, C. R. Acad. Sci. Paris, Ser.I V. 352 (1) (2014), pp. 17-20.Search in Google Scholar

[11] J. M. Jahangiri, S. G. Hamidi, Coefficient estimates for certain classes of bi-univalent functions, Int. J. Math. Math. Sci., ArticleID 190560, (2013), 4 pp.10.1155/2013/190560Search in Google Scholar

[12] J. M. Jahangiri, S. G. Hamidi, S. A. Halim, Coefficients of bi-univalent functions with positive real part derivatives, Bull. Malays. Math. Soc., in press, http://math.usm.my/bulletin/pdf/acceptedpapers/2013-04-050-R1.pdf.Search in Google Scholar

[13] B. Srutha Keerthi, Bhuvaneswari Raja, Coefficient inequality for certain new subclasses of analytic bi-univalent functions, Theoretical Mathematics and Applications, 3 (1) (2013), pp. 1-10.Search in Google Scholar

[14] M. Lewin, On a coefficient problem for bi-univalent functions, Proceeding of the American Mathematical Society, 18 (1967), 63-68.10.1090/S0002-9939-1967-0206255-1Search in Google Scholar

[15] N. Magesh and J. Yamini, Coefficient bounds for a certain subclass of bi-univalent functions, International Mathematical Forum, 8 (27) (2013), 1337-1344.10.12988/imf.2013.3595Search in Google Scholar

[16] E. Netanyahu, The minimal distance of the image boundary from the orijin and the second coefficient of a univalent function in |z| < 1, Archive for Rational Mechanics and Analysis, 32 (1969), 100-112.10.1007/BF00247676Search in Google Scholar

[17] Z. Peng and Q. Han, On the coefficients of several classes of bi-univalent functions, Acta Mathematica Scientia, 34B (1) (2014), 228-240.10.1016/S0252-9602(13)60140-XSearch in Google Scholar

[18] S. Prema, B. Srutha Keerthi, Coefficient bounds for a certain subclass of analytic functions, Journal of Mathematical Analysis, 4 (1) (2013), 22-27.Search in Google Scholar

[19] R. M. Ali, S. K. Lee, V. Ravichandran, S. Supramaniam, Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions, Applied Mathematics Letters, 5 (2012), 344-351.10.1016/j.aml.2011.09.012Search in Google Scholar

[20] H. M. Srivastava, A. K. Mishra, P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Applied Mathematics Letters, 23 (10), 1188-1192.10.1016/j.aml.2010.05.009Search in Google Scholar

[21] H. M. Srivastava, S. Bulut, M. C，a˘glar, N. Ya˘gmur, Coefficient estimates for a general subclass of analytic and bi-univalent functions, Filomat, 27 (5)(2013), 831-842.10.2298/FIL1305831SSearch in Google Scholar

[22] Q. H. Xu, Y. C. Gui, H. M. Srivastava, Coefficient estimates for a certain subclass of analytic and bi-univalent functions, Applied Mathematics Letters, 25 (2012), 990-994. 10.1016/j.aml.2011.11.013Search in Google Scholar