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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 383592, 10 pages
http://dx.doi.org/10.1155/2012/383592
Research Article

𝑛 -Bazilevic Functions

Department of Mathematical Sciences, College of Science, Princess Nora bint Abdul Rahman University, P.O. Box 4384, Riyadh 11491, Saudi Arabia

Received 31 December 2011; Revised 2 March 2012; Accepted 3 March 2012

Academic Editor: Khalida Inayat Noor

Copyright © 2012 F. M. Al-Oboudi. 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. T. Sheil-Small, “The Hadamard product and linear transformations of classes of analytic functions,” Journal d'Analyse Mathematique, vol. 34, pp. 204–239, 1978. View at Publisher · View at Google Scholar
  2. I. E. Bazilevic, “On a case of integrability in quadratures of the Loewner-Kufarev equation,” Matematicheskii Sbornik, vol. 37, pp. 471–476, 1955.
  3. M. Arif, K. I. Noor, and M. Raza, “On a class of analytic functions related with generalized Bazilevic type functions,” Computers and Mathematics with Applications, vol. 61, no. 9, pp. 2456–2462, 2011. View at Publisher · View at Google Scholar
  4. Y. C. Kim, “A note on growth theorem of Bazilevic functions,” Applied Mathematics and Computation, vol. 208, no. 2, pp. 542–546, 2009. View at Publisher · View at Google Scholar
  5. A. T. Oladipo, “On a new subfamilies of Bazilevic functions,” Acta Universitatis Apulensis, no. 29, pp. 165–185, 2012.
  6. Q. Deng, “On the coefficients of Bazilevic functions and circularly symmetric functions,” Applied Mathematics Letters, vol. 24, no. 6, pp. 991–995, 2011. View at Publisher · View at Google Scholar
  7. T. Sheil-Small, “Some remarks on Bazilevic functions,” Journal d'Analyse Mathematique, vol. 43, pp. 1–11, 1983. View at Publisher · View at Google Scholar
  8. F. M. Al-Oboudi, “On univalent functions defined by a generalized Salagean operator,” International Journal of Mathematics and Mathematical Sciences, no. 25–28, pp. 1429–1436, 2004. View at Publisher · View at Google Scholar
  9. G. S. Salagean, “Subclasses of univalent functions,” in Complex Analysis, Fifth Romanian-Finnish Seminar, Part 1 (Bucharest, 1981), vol. 1013 of Lecture Notes in Mathematics, pp. 362–372, Springer, Berlin, Germany, 1983. View at Publisher · View at Google Scholar
  10. St. Ruscheweyh, Convolutions in Geometric Function Theory, vol. 83 of Seminaire de Mathematiques Superieures, Presses de l'Universite de Montreal, Montreal, Canada, 1982.
  11. A. Cătaş, G. I. Oros, and G. Oros, “Differential subordinations associated with multiplier transformations,” Abstract and Applied Analysis, vol. 2008, Article ID 845724, 11 pages, 2008. View at Publisher · View at Google Scholar
  12. M. Darus and I. Faisal, “A study on Becker's univalence criteria,” Abstract and Applied Analysis, vol. 2011, Article ID 759175, 13 pages, 2011. View at Publisher · View at Google Scholar
  13. D. Blezu, “On the n-close-to-convex functions with respect to a convex set. I,” Mathematica Revue d'Analyse Numérique et de Théorie de l'Approximation, vol. 28(51), no. 1, pp. 9–19, 1986.
  14. W. Kaplan, “Close-to-convex schlicht functions,” The Michigan Mathematical Journal, vol. 1, pp. 169–185, 1952.
  15. S. Abdul Halim, “On a class of analytic functions involving the Salagean differential operator,” Tamkang Journal of Mathematics, vol. 23, no. 1, pp. 51–58, 1992.
  16. T. O. Opoola, “On a new subclass of univalent functions,” Mathematica, vol. 36, no. 2, pp. 195–200, 1994.
  17. H. S. Al-Amiri, “On the Hadamard products of schlicht functions and applications,” International Journal of Mathematics and Mathematical Sciences, vol. 8, no. 1, pp. 173–177, 1985. View at Publisher · View at Google Scholar
  18. R. W. Barnard and C. Kellogg, “Applications of convolution operators to problems in univalent function theory,” The Michigan Mathematical Journal, vol. 27, no. 1, pp. 81–94, 1980.
  19. J. Zamorski, “On Bazilevic schlicht functions,” Annales Polonici Mathematici, vol. 12, pp. 83–90, 1962.