Certain Coefficient Inequalities for some Subclasses of Analytic Functions

Year 2009, Volume: 38 Issue: 3, 233 - 242, 01.03.2009

T. Rosy S. Kavitha G. Murugusundaramoorthy

Keywords

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References

• Goodman, A. W. Uniformly convex functions, Ann. Polon. Math. 56, 87–92, 1991.
• Guo, D. and Liu, M-S. On certain subclass of Bazileviˇc functions, J. Inequal. Pure Appl. Math. 8 (1), 1–11, 2007.
• Ma, W. and Minda, D. A Unified treatment of some special classes of univalent functions, in: Proceedings of the Conference on Complex Analysis, Z. Li, F. Ren, L. Yang, and S. Zhang (Eds.), Int. Press, 157–169, 1994.
• Ma, W. and Minda, D. Uniformly convex functions II, Ann. Polon. Math. Soc. 58, 275–285, S. Owa and H. M. Srivastava, Univalent and starlike generalized hypergeometric functions, Canad. J. Math. 39 (1987), 1057–1077.
• Owa, S. On the distortion theorems I, Kyungpook Math. J. 18, 53–58, 1978.
• Ravichandran, V., Gangadharan, A. and Darus, M. Fekete-Szeg¨o inequality for certain class of Bazileviˇc functions, Far East J. Math. Sci. 15 (2), 171–180, 2004.
• Rİnning, F. Uniformly convex functions and a corresponding class of starlike functions, Proc. Amer. Math. Soc. 118, 189–196, 1993.
• Srivastava, H. M. and Mishra, A. K. Applications of fractional calculus to parabolic starlike and uniformly convex functions, Computer Math. Appln. 39, 57–69, 2000.
• Srivastava, H. M., Mishra, A. K. and Das, M. K. The Fekete-Szeg¨o problem for a subclass of close-to-convex functions, Complex Variables Theory Appl. 44 (2), 145–163, 2001.
• Srivastava, H. M. and Owa, S. An application of the fractional derivative, Math. Japon. 29, –389, 1984.
• Srivastava, H. M. and Owa, S. Univalent functions (Fractional Calculus and Their Applica- tions, Halsted Press/John Wiley and Sons, Chichester/New York, 1989).