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Certain Class of Analytic Functions Defined by Ruscheweyh Derivative with Varying Arguments

  • El-Ashwah, Rabha Mohamed (Department of Mathematics, Faculty of Science, Damietta University) ;
  • Aouf, Mohamed Kamal (Department of Mathematics, Faculty of Science, Mansoura University) ;
  • Hassan, Ahmed (Department of Mathematics, Faculty of Science, Zagazig University) ;
  • Hassan, Alaa (Department of Mathematics, Faculty of Science, Zagazig University)
  • Received : 2012.09.17
  • Accepted : 2013.04.22
  • Published : 2014.09.23

Abstract

In this paper we derive some results for certain new class of analytic functions defined by using Ruscheweyh derivative with varying arguments.

Keywords

References

  1. H. S. Al-Amiri, On Ruscheweyh derivatives, Ann. Polon. Math., 38(1980), 87-94.
  2. H. S. Al-Amiri, On a subclass of close-to-convex functions with negative coefficients, Math. (Cluj), 31(1989), 1-7.
  3. O. Altintas, A subclass of analytic functions with negative coefficients, Hacettepe Bull. Natur. Sci. Engrg., 19(1990), 15-24.
  4. A. A. Attiya and M. K. Aouf, A study on certain class of analytic functions defined by Ruscheweyh derivative, Soochow J. Math., 33(2)(2007), 273-289.
  5. V. P. Gupta and P. K. Jain, Certain classes of univalent functions with negative coefficients II, Bull. Austral. Math. Soc., 15(1976), 467-473. https://doi.org/10.1017/S0004972700022917
  6. S. Owa and M. K. Aouf, On subclasses of univalent functions with negative coefficients II, Pure Appl. Math. Sci., 29(1:2)(1989), 131-139.
  7. St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc., 49(1975), 109-115. https://doi.org/10.1090/S0002-9939-1975-0367176-1
  8. S. M. Sarangi and B. A. Uralegaddi, The radius of convexity and starlikeness for certain classes of analytic functions with negative coefficients I, Rend. Acad. Naz. Lincei, 65(1978), 38-42.
  9. H. Silverman, Univalent functions with varying arguments, Houston J. Math., 17(1981), 283-287.
  10. H. M. Srivastava and S. Owa, Certain classes of analytic functions with varying arguments, J. Math. Anal. Appl., 136(1)(1988), 217-228. https://doi.org/10.1016/0022-247X(88)90127-8
  11. B. A. Uralegaddi and S. M. Sarangi, Some classes of univalent functions with negative coefficients, An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat. (N. S.), 34(1988), 7-11.