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Differential subordinations and superordinations for p-valent functions defined by fractional derivative operator

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
In the present paper, we derive some subordination and superordination results for p-valent functions in the open unit disk by using certain fractional derivative operator. Relevant connections of the results, which are presented in the paper, with various known results are also considered.
Wydawca
Rocznik
Strony
503--512
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
  • Department of Mathematics, SCIM, University of Bradford, BD7 1DP, UK
autor
  • Department of Mathematics, SCIM, University of Bradford, BD7 1DP, UK
Bibliografia
  • [1] M. K. Aouf, F. M. AL-Oboudi, M. M. Haidan On some results for λ-apiralike and λ-Robertson functions of complex order, Publ. Inst. Math. (Beograd) 77(91) (2005), 93–98.
  • [2] R. M. Ali, V. Ravichandran, K. M. Hussain, K. G. Subramaniant, Differential sandwich theorems for certain analytic functions, Far East J. Math. Sci. 15(1) (2005), 87–94.
  • [3] T. A. Bulboaca, Classes of first-order differential superordinations, Demonstratio Math. 35(2) (2002), 287–292.
  • [4] T. A. Bulboaca, A class of superordination-preserving integral operators, Indag. Math. New Ser. 13(3) (2002), 301–311.
  • [5] S. S. Miller, T. A. Bulboaca, Differential Subordinations:Theory and Applications, Pure and Applied Mathematics, No. 225, Marcel Dekker, New York, 2000.
  • [6] S. S. Miller, B. T. Mocanu, Subordinations of differential superordinations, Complex Variables 48(10) (2003), 815–826.
  • [7] M. Obradovic, M. K. Aouf, S. Owa, On some results for starlike functions of complex order, Publ. Inst. Math. (Beograd)(N. S.) 46(60) (1989), 79–85.
  • [8] M. Obradovic, S. Owa, On certain properties for some classes of starlike functions, J. Math. Anal. Appl. 145 (1990), 357–364.
  • [9] S. Owa, On the distortion theorems- I, Kyungpook. Math. J. 18 (1978), 53–59.
  • [10] R. K. Raina, H. M. Srivastava, A certain subclass of analytic functions associated with operators of fractional calculus, Comput. Math. Appl. 32 (1996), 13–19.
  • [11] T. N. Shanmugam, V. Ravichandran, S. Sivasubramanian, Differential sandwich theorems for some subclasses of analytic functions, Austral. J. Math. Anal. Appl. 3(1) (2006), 1–11.
  • [12] H. M. Srivastava, A. Y. Lashin, Some applications of the Briot–Bouquet differential subordination, J. Inequal. Pure Appl. Math. 6(2) (2005), Article 41, 7 pp.
  • [13] H. M. Srivastava, P. M. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Limited, Chichester), Wiley, New York/Chichester/ Brishane/Toronto, 1985.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-306ab4a2-759c-4193-95f6-eeb5ae1471a3
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