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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 345261, 15 pages
http://dx.doi.org/10.1155/2012/345261
Research Article

On Uniformly Bazilevic and Related Functions

Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan

Received 28 November 2011; Accepted 10 December 2011

Academic Editor: Muhammad Aslam Noor

Copyright © 2012 Khalida Inayat Noor. 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. S. Kanas and Wisniowska, “Conic regions and k-uniform convexity, II, Zeszyty Naukowe Politech,” Rzeszowkiej Matematyka, vol. 170, no. 22, pp. 65–78, 1998.
  2. S. Kanas and A. Wisniowska, “Conic regions and k-uniform convexity,” Journal of Computational and Applied Mathematics, vol. 105, no. 1-2, pp. 327–336, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  3. S. Kanas, “Techniques of the differential subordination for domains bounded by conic sections,” International Journal of Mathematics and Mathematical Sciences, no. 38, pp. 2389–2400, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. K. I. Noor, “On a generalization of uniformly convex and related functions,” Computers & Mathematics with Applications, vol. 61, no. 1, pp. 117–125, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. 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 · View at MathSciNet
  6. P. T. Mocanu, “Une propriete de convexite generalisee dans la theorie de la representation conforme,” Mathematica, vol. 11 (34), pp. 127–133, 1969. View at Zentralblatt MATH
  7. S. S. Miller, P. Mocanu, and M. O. Reade, “All α-convex functions are univalent and starlike,” Proceedings of the American Mathematical Society, vol. 37, pp. 553–554, 1973.
  8. K. I. Noor and S. Al-Bani, “On functions related to functions of bounded Mocanu variation,” Caribbean Journal of Mathematics, vol. 4, pp. 53–65, 1987.
  9. A. W. Goodman, Univalent Functions, vol. 1-2, Polygonal Publishing House, Washington, DC, USA, 1983.
  10. K. I. Noor, M. Arif, and W. Ul-Haq, “On k-uniformly close-to-convex functions of complex order,” Applied Mathematics and Computation, vol. 215, no. 2, pp. 629–635, 2009. View at Publisher · View at Google Scholar
  11. S. Miller, “Differential inequalities and Caratheodory functions,” Bulletin of the American Mathematical Society, vol. 81, pp. 79–81, 1975. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. T. Sheil-Small, “On Bazilevic functions,” The Quarterly Journal of Mathematics, vol. 23, pp. 135–142, 1972. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  13. K. I. Noor, “On certain analytic functions related with strongly close-to-convex functions,” Applied Mathematics and Computation, vol. 197, no. 1, pp. 149–157, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  14. R. Szász and P. A. Kupán, “The exact order of starlikeness of uniformly convex functions,” Computers & Mathematics with Applications, vol. 62, no. 1, pp. 173–186, 2011. View at Publisher · View at Google Scholar