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Coefficient inequalities for certain classes of analytic functions associated with the Wright generalized hypergeometric function

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Języki publikacji
EN
Abstrakty
EN
In this paper, we obtain sufficient condition involving coefficient inequalities for f(z) to in the class [...] of analytic functions defined in the open unit disk and satisfying the analytic criterion [...]. Our main result contain some interesting corollaries as special cases.
Rocznik
Tom
Strony
27--34
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
  • Faculty of Science, Department of Mathematics, Al al-Bayt University, P.O. Box: 130095 Mafraq, Jordan
autor
  • School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Bangi 43600 Selangor D. Ehsan, Malaysia
autor
  • School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Bangi 43600 Selangor D. Ehsan, Malaysia
Bibliografia
  • [1] S. D. Bernardi, Convex and starlike univalent functions, Trans. Amer. Math. Soc., 135 (1969), 429-446.
  • [2] B. C. Carlson and S. B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal., 15 (2002), 737-745.
  • [3] J. Dziok and H. M. Srivastava, Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transform Spec. Funct., 14 (2003), 7-18.
  • [4] J. Dziok and Raina, Families of analytic functions associated with the Wright generalized hypergeometric function, Demon. Math., 37 (2004), No.3, 533-542.
  • [5] B.A. Frasin, Coefficient inequalities for certain classes of analytic functions of complex order, Math. Vesnik 63, 1 (2011), 73-78.
  • [6] T. Hayami and S. Owa, Coefficient conditions for certain univalent functions, Int. J. Open Problems Comput. Sci. Math.,Vol.1, 2008, No.1, June 2008.
  • [7] T. Hayami, S. Owa and H.M. Srivastava, Coefficient inequalities for certain classes of analytic and univalent functions, J. Ineq. Pure Appl. Math.Vol. 8 (2007), Issue 4, Article 95, 1-10.
  • [8] R. J. Libera, Some classes of regular univalent functions, Proc. Amer. Math. Soc., 16 (1965), 755-758.
  • [9] A. E. Livingston, On the radius of univalence of certain analytic functions, Proc. Amer. Math. Soc., 17 (1966), 352-357.
  • [10] St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc., 49 (1975), 109-115.
  • [11] H. M. Srivastava and S. Owa, Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators and certain subclasses of analytic functions, Nagoya Math. J., 106 (1987), 1-28.
  • [12] E.M.Wright, The asymptotic expansion of the generalized hypergeometric function, Proc. London. Math. Soc., 46 (1946), 389-408.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c8c16e28-c87d-4d99-a062-ac6acfe834b9
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