A New Subclass of Close-to-convex Functions
نویسنده
چکیده
In this work, we introduce and investigate an interesting subclassXt(γ) of analyticand close-to-convex functions in the open unit disk U. For functions belonging to the classXt(γ),we drive several properties including coefficient estimates, distortion theorems, covering theoremsand radius of convexity.Full text References[1] I. Graham, G. Kohr, Geometric Function Theory in One and Higher Dimensions,Marcel Dekker, Inc. (2003). MR2017933(2004i:32002). Zbi 1042.30001.[2] C.-Y. Gao, S.-Q. Zhou, On a class of analytic functions related to theclass to the starlike functions, Kyungpook Math. J. 45(2005), 123-130.MR2142284(2006b:30025). Zbi 1085.30015[3] J. Kowalczyk, E. Leś-Bomba, On a subclass of close-to-convex functions, Appl.Math. Letters 23(2010), 1147-1151. MR2665584(2011g:30032). Zbi 1193.30018.[4] Q.-H. Xu, H. M. Srivastava, Z. Li, A certain subclass of analytic andclose-to-convex functions, Appl. Math. Letters 24(2011), 396-401. MR2741053(2011j:30022). Zbi 1206.30035.[5] Z.-G. Wang, D.-Z. Chen, On a certain subclass of close-to-convex functions,Hacet. J. Math. Stat. 38(2)(2009), 95-101. MR2561390. Zbi 1178.30022. J. K. PrajapatDepartment of Mathematics,Central University of Rajasthan,2010 Mathematics Subject Classification: 30C45
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