Acknowledgement
A part of this research was carried out while the second author was visiting the University of Alberta. The authors are grateful to professor Sibel Yal,cin for her comments.
References
- R. M. Ali, S. K. Lee, V. Ravichandran and S. Subramaniam, Coefficient estimates for biunivalent Ma-Minda starlike and convex functions, Appl. Math. Lett. 25 (2012), 344-351. https://doi.org/10.1016/j.aml.2011.09.012
- M. K. Aouf, R. M. El-Ashwah, and A. Abd-Eltawab, New Subclasses of Biunivalent Functions Involving Dziok-Srivastava Operator, ISRN Mathematical Analysis (2013), Article ID 387178, 5 pages.
- D. A. Brannan and J. G. Clunie (Eds.), Aspects of Contemporary Complex Analysis, Proceedings of the NATO Advanced Study Institute held at the University of Durham, Durham; July 1-20, 1979, (Academic Press, New York and London, 1980).
- P. L. Duren, Univalent Functions, Springer-Verlag, New York, Berlin, 1983.
- J. Dziok and H. M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999), 1-13. https://doi.org/10.1016/S0096-3003(98)10042-5
- J. Dziok and H. M. Srivastava, Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transforms Spec. Funct. 14 (2003), 7-18. https://doi.org/10.1080/10652460304543
- T. Hayami and S. Owa, Coefficient bounds for bi-univalent functions, PanAm. Math. J. 22 (2012), 15-26.
- B. A. Frasin and M. K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett. 24 (2011), 1569-1573. https://doi.org/10.1016/j.aml.2011.03.048
- A. W. Kedzierawski, Some remarks on bi-univalent functions, Ann. Univ. Mariae Curie Sklodowska Sect. A. 39 (1985), 77-81.
- M. Lewin, On a coefficient problem for bi-univalent functions, Proc. Amer. Math. Soc. 18 (1967), 63-68. https://doi.org/10.1090/S0002-9939-1967-0206255-1
- M.M. Shabani and S. Hashemi Sababe, On Some Classes of Spiral-like Functions Defined by the Salagean Operator, Korean J. Math. 28 (2020), 137-147. https://doi.org/10.11568/kjm.2020.28.1.137
- M.M. Shabani, Maryam Yazdi and S. Hashemi Sababe, Coefficient Bounds for a Subclass of Harmonic Mappings Convex in one direction, KYUNGPOOK Math. J. 61 (2021), 269-278 https://doi.org/10.5666/KMJ.2021.61.2.269
- M.M. Shabani, Maryam Yazdi and S. Hashemi Sababe, Some distortion theorems for new subclass of harmonic univalent functions, Honam Mathematical J. 42(4) (2020), 701-717. https://doi.org/10.5831/HMJ.2020.42.4.701
- H. M. Srivastava, A. K. Mishra and P. Gochhayat, Certain subclasses of analytic and biunivalent functions, Appl. Math. Lett. 23 (2010), 1188-1192. https://doi.org/10.1016/j.aml.2010.05.009
- D. L. Tan, Coefficient estimates for bi-univalent functions, Chinese Ann. Math. Ser. A. 5 (1984), 559-568.
- Q. H. Xu, Y. C. Gui, and H. M. Srivastava, Coefficient estimates for a certain subclass of analytic and bi-univalent functions, Appl. Math. Lett. 25 (2012), 990-994. https://doi.org/10.1016/j.aml.2011.11.013
- Q. H. Xu, H.G. Xiao, and H. M. Srivastava, A certain general subclass of analytic and biunivalent functions and associated cofficient estimate problems, Appl. Math. Comput. 218 (2012), 11461-11465. https://doi.org/10.1016/j.amc.2012.05.034