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Certain subclasses of multivalent prestarlike functions with negative coefficients

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Języki publikacji
EN
Abstrakty
EN
The object of the present paper is to investigate coefficient estimates and closure theorems for functions belonging to the class R[..] of p-valent prestarlike functions with negative coefficients. We also consider integral operators associalted with functions belonging to the class R[..]. Furthermore, distortion theorems involving a generalized fractional integral (derivative) opertaor for functions in this class are proved.
Wydawca
Rocznik
Strony
799--814
Opis fizyczny
Bibliogr. 25 poz.
Twórcy
autor
  • Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Bibliografia
  • [1] O. P. Ahuja and H. Silverman, Convolution of prestarlike functions, Internat. J. Math. Math. Sci. 6 (1983), 59-68.
  • [2] F. M. AL-Oboudi, On univalent functions defined by a generatized Salagean operator, Internat. J. Math. Math. Sci. 27 (2004), 1429-1436.
  • [3] M. K. Aouf, A generalization of multivalent functions with negative coefficients, J. Korean Math. Soc. 25 (1988), 53-66.
  • [4] M. K. Aouf, H. E. Darwish and A. A. Attiya, Some applications of fractional calculus operators associated with a certain class of prestarlike functions with negative coefficients, J. Fractional Calculus 17(2000), 85-94.
  • [5] M. K. Aouf, H. M. Hossen and H. M. Srivastava, A certain subclass of analytic p-valent functions with negative coefficients, Demonstratio Math. 31 (1998), no.1, 595-608.
  • [6] M. K. Aouf, H. M. Hossen and H. M. Srivastava, Certain subclasses of prestariike functtons with. negative coefficients, Kumamoto J. Math. 11 (1998), 1-17.
  • [7] M. K. Aouf and G. S. Salagean, Certain subclass of prestarlike functions with negative coefficients, Studia Univ. Babes - Bolyai Math.39 (1994), no. 1, 19-30.
  • [8] M. K. Aouf and G. S. Salagean, Prestarlike functions with negative coefficients, Rev. Roum. Math. Pures Appl. 44 (1999), no. 4, 493-502.
  • [9] G. A. Kumer and G. L. Reddy, Certain class of prestarlike functions, J. Math Res. Exp. 12 (1992), no. 3, 407-412.
  • [10] S. Owa, On the distortion theorems. I, Kyungpook Math J. 18 (1978), 53-59.
  • [11] S. Owa and O. P. Ahuja, An application of fractional calculus, Math. Japon. 30 (1995), 947-955.
  • [12] S. Owa, M. Saigo and H. M. Srivastava, Some characterization theorems for starlike and convex functions invalving a certain fractional integral operator, J. Math. Anal. Appl. 140 (1989), 419-426.
  • [13] S. Owa and H. M. Srivastava, Univalent and starlike generalized hypergeometric functions, Canad. J. Math. 39 (1987), 1057-1077.
  • [14] D. A. Patil and N. K. Thakare, On convex hulls and extreme points of p-valent starlike and convex classes with applications, Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.) 27 (1983), no. 75, 145-160.
  • [15] R. K. Raina and H. M. Srivastava, A unified presentation of certain subclasses of prestarlike functions with negative coefficients, Computers Math. Appl. 38 (1999), 71-78.
  • [16] G. S. Salagean, Subclasses of univalent functions, Lecture Notes in Math. (Springer) 1013 (1983), 362-372.
  • [17] T. Sheil-Small, H. Silverman and E. M. Slivia, Convolution multipliers and starlike functions, J. Analyse Math. 41 (1982), 181-192.
  • [18] G. M. Shenen, T. Q. Salim and M. S. Marouf, A certain class of multivalent prestarlike functions involving the Srivastava-Saigoowa fractional integral operator, Kyungpook Math. J. 44 (2004), 353-362.
  • [19] H. Silverman and E. M. Slivia, Subclasses of prestarlike functions, Math. Japon. 29 (1984), 99-936.
  • [20] H. M. Srivastava and M. K. Aouf, Some applications of fractional calculus operators to certain subclasses of prestarlike functions with negative coefficients, Computers Math. Appl. 30 (1995), no. 1, 53-61.
  • [21] H. M. Srivastava and S. Owa, An applications of the fractional derivative, Math. Japon. 29 (1984), 383-389.
  • [22] H. M. Srivastava and S. Owa (eds.), Univalent Functions, Fractional Calculus, and their Applications, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbare, and Toronto, 1989.
  • [23] H. M. Srivastava and S. Owa (eds.), Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong, 1992.
  • [24] H. M. Srivastava, M. Saigo, and S. Owa, A class of distortion theorems involving certain operators of fractional calculus, J. Math. Anal. Appl. 131 (1988), 412-420.
  • [25] B. A. Uralegaddi and S. M. Sarangi, Certain generalization of prestarlike functions with negative coefficients, Ganita 34 (1983), 99-105.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0022-0006
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