About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 890404, 8 pages
http://dx.doi.org/10.1155/2013/890404
Research Article

Certain Subclasses of Multivalent Analytic Functions

1Department of Mathematics, Suqian College, Suqian 223800, China
2Department of Mathematics, Yangzhou University, Yangzhou 225002, China

Received 26 February 2013; Revised 17 May 2013; Accepted 29 June 2013

Academic Editor: Pedro M. Lima

Copyright © 2013 Yi-Ling Cang and Jin-Lin Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. I. R. Nezhmetdinov and S. Ponnusamy, “On the class of univalent functions starlike with respect to N-symmetric points,” Hokkaido Mathematical Journal, vol. 31, no. 1, pp. 61–77, 2002. View at MathSciNet
  2. I. R. Nezhmetdinov, “On the order of starlikeness of the class UST ,” Journal of Mathematical Analysis and Applications, vol. 234, no. 2, pp. 559–566, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. R. Pavatham and S. Radha, “On α-starlike and α-close-to-convex functions with respect to n-symmetric points,” Indian Journal of Pure and Applied Mathematics, vol. 16, pp. 1114–1122, 1986.
  4. S. Ponnusamy, Some applications of differential subordination and convolution techniques to univalent functions theory [Ph.D. thesis], I. I. T., Kanpur, India, 1988.
  5. Z.-G. Wang, C.-Y. Gao, and S.-M. Yuan, “On certain subclasses of close-to-convex and quasi-convex functions with respect to k-symmetric points,” Journal of Mathematical Analysis and Applications, vol. 322, no. 1, pp. 97–106, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  6. S.-M. Yuan and Z.-M. Liu, “Some properties of α-convex and α-quasiconvex functions with respect to n-symmetric points,” Applied Mathematics and Computation, vol. 188, no. 2, pp. 1142–1150, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  7. M. K. Aouf and J. Dziok, “Distortion and convolutional theorems for operators of generalized fractional calculus involving Wright function,” Journal of Applied Analysis, vol. 14, no. 2, pp. 183–192, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. J. Dziok, R. K. Raina, and J. Sokół, “On α-convex functions related to shell-like functions connected with Fibonacci numbers,” Applied Mathematics and Computation, vol. 218, no. 3, pp. 996–1002, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  9. J. Dziok, R. K. Raina, and J. Sokół, “Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers,” Computers & Mathematics with Applications, vol. 61, no. 9, pp. 2605–2613, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. M.-S. Liu, S. Owa, and N.-S. Song, “Properties of certain transforms defined by convolution of analytic functions,” Applied Mathematics and Computation, vol. 219, no. 9, pp. 4702–4709, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  11. Q. Yang and J.-L. Liu, “Argument property for certain analytic functions,” Abstract and Applied Analysis, vol. 2012, Article ID 391038, 8 pages, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet