Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 11 (2016), 11 -- 19

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


J. K. Prajapat

Abstract. In this work, we introduce and investigate an interesting subclass Xt(γ) of analytic and close-to-convex functions in the open unit disk U. For functions belonging to the class Xt(γ), we drive several properties including coefficient estimates, distortion theorems, covering theorems and radius of convexity.

2010 Mathematics Subject Classification: 30C45
Keywords: Analytic Functions, Univalent Function, Starlike Functions, Close-to-Convex Function

Full text


  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 the class to the starlike functions, Kyungpook Math. J. 45(2005), 123-130. MR2142284(2006b:30025). Zbi 1085.30015

  3. J. Kowalczyk, E. Les-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 and close-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. Prajapat
Department of Mathematics,
Central University of Rajasthan,
Bandarsindri, Kishangarh-305817,
Dist.-Ajmer, Rajasthan, INDIA.