About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 790689, 11 pages
http://dx.doi.org/10.1155/2012/790689
Research Article

On Subclasses of Analytic Functions with respect to Symmetrical Points

1Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan
2Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan

Received 27 December 2011; Accepted 10 January 2012

Academic Editor: Muhammad Aslam Noor

Copyright © 2012 Muhammad Arif et al. 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. K. Sakaguchi, “On a certain univalent mapping,” Journal of the Mathematical Society of Japan, vol. 11, pp. 72–75, 1959. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  2. R. N. Das and P. Singh, “On subclasses of schlicht mapping,” Indian Journal of Pure and Applied Mathematics, vol. 8, no. 8, pp. 864–872, 1977. View at Google Scholar
  3. K. S. Padmanabhan and R. Parvatham, “Properties of a class of functions with bounded boundary rotation,” Annales Polonici Mathematici, vol. 31, no. 3, pp. 311–323, 1975. View at Google Scholar
  4. B. Pinchuk, “Functions of bounded boundary rotation,” Israel Journal of Mathematics, vol. 10, pp. 6–16, 1971. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. M. Arif, K. I. Noor, and M. Raza, “On a class of analytic functions related with generalized Bazilevic type functions,” Computers & Mathematics with Applications, vol. 61, no. 9, pp. 2456–2462, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. M. Arif, M. Raza, K. I. Noor, and S. N. Malik, “On strongly Bazilevic functions associated with generalized Robertson functions,” Mathematical and Computer Modelling, vol. 54, no. 5-6, pp. 1608–1612, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. K. I. Noor, “Analytic functions of bounded radius rotation with respect to symmetrical points,” Panamerican Mathematical Journal, vol. 5, no. 3, pp. 39–49, 1995. View at Google Scholar · View at Zentralblatt MATH
  8. K. I. Noor and S. Mustafa, “Some classes of analytic functions related with functions of bounded radius rotation with respect to symmetrical points,” Journal of Mathematical Inequalities, vol. 3, no. 2, pp. 267–276, 2009. View at Google Scholar · View at Zentralblatt MATH
  9. K. I. Noor, M. A. Noor, and E. Al-Said, “On analytic functions of bounded boundary rotation of complex order,” Computers & Mathematics with Applications, vol. 62, no. 4, pp. 2112–2125, 2011. View at Publisher · View at Google Scholar
  10. M. A. Noor, K. I. Noor, and E. A. Al-Said, “On certain analytic functions with bounded radius rotation,” Computers & Mathematics with Applications, vol. 61, no. 10, pp. 2987–2993, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  11. K. I. Noor, W. Ul-Haq, M. Arif, and S. Mustafa, “On bounded boundary and bounded radius rotations,” Journal of Inequalities and Applications, vol. 2009, Article ID 813687, 12 pages, 2009. View at Google Scholar · View at Zentralblatt MATH
  12. K. I. Noor, “Higher order close-to-convex functions,” Mathematica Japonica, vol. 37, no. 1, pp. 1–8, 1992. View at Google Scholar · View at Zentralblatt MATH
  13. G. M. Golusin, “On distortion theorems and coefficients of univalent functions,” Matematicheskii Sbornik, vol. 19, pp. 183–202, 1946. View at Google Scholar · View at Zentralblatt MATH
  14. J. Stankiewicz, “Some remarks on functions starlike with respect to symmetric points,” Annales Universitatis Mariae Curie Sklodowska Section A, vol. 19, pp. 53–59, 1965. View at Google Scholar · View at Zentralblatt MATH