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Sandwich theorems for certain subclasses of analytic functions defined by family of linear operators

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we obtain some applications of first order differential subordination and superordination results involving Dziok-Srivastava operator and other linear operators for certain normalized analytic functions in the open unit disk. The results, which are presented in this paper, have relevant connections with various previous results.
Wydawca
Rocznik
Strony
269--280
Opis fizyczny
Bibliogr. 22 poz.
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autor
Bibliografia
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  • [7] Cho, N. E., Kwon, O. H., Srivastava, H. M., Inclusion and argument properties for certain subclasses of multivalent functions associated with a family of linear operators, J. Math. Anal. Appl. 292 (2004), 470-483.
  • [8] Choi, J. H., Saigo, M., Srivastava, H. M., Some inclusion properties of a certain family of integral operators, J. Math. Anal. Appl. 276 (2002), 432-445.
  • [9] Dziok, J., Srivastava, H. M., Classes of analytic functions associated with thegener-alized hypergeometric function, Appl. Math. Comput. 103 (1999), 1-13.
  • [10] Libera, R. J., Some classes of regular univalent functions, Proc. Amer. Math. Soc. 16 (1965), 755-658.
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  • [12] Miller, S. S., Mocanu, P. T., Differential Subordination: Theory and Applications, Monographs Textbooks Pure Appl. Math. 225, Marcel Dekker Inc., New York-Basel, 2000.
  • [13] Miller, S. S., Mocanu, P. T., Subordinates of differential superordinations, Complex Var. Theory Appl. 48(10) (2003), 815-826.
  • [14] Murugusundaramoorthy, G., Magesh, N., Differential subordinations and superordinations for analytic functions defined by the Dziok-Srivastava linear operator, JIPAM J. Inequal. Pure Appl. Math. 7(4) (2006), art. 152, 1-9.
  • [15] Obradović, M., Aouf, M. K., Owa, S., On some results for starlike functions of complex order, Publ. Inst. Math. (Beograd) 46(60) (1989), 79-85.
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  • [17] Ruscheweyh, St., New criteria for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109-115.
  • [18] Shanmugam, T. N,, Ravichandran, V., Sivasubramanian, S., Differential sandwich theorems for some subclasses of analytic functions, Aust. J. Math. Anal. Appl. 3(1) (2006), art. 8, 1-11.
  • [19] Shanmugam, T. N., Sivasubramanian. S., Frasin, B. A.. Kavitha, S., On sandwich theorems for certain subclasses of analytic functions involving Carlson-Shaffer operator, J. Korean Math. Soc. 45(3) (2008), 611-620.
  • [20] Srivastava, H. M., Karlsson, P. W., Multiple Gaussian Hypergeometric Series. Halsled Press (Ellis Horwood, Chichester), John Wiley & Sons, New York, 1985.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD6-0008-0032
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