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Certain class of analytic functions associated with the generalized hypergeometric function

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Języki publikacji
EN
Abstrakty
EN
Using the generalized hypergeornetric function, we study a class V(sup p) (sub k (q, s; A, B, λ) of analytic functions with negative coefficients. Coefficient estimates, distortion theorem, extreme points and the radii of convexity and starlikeness for this class are given. We also derive many results for the modified Hadamard products of functions belonging to the class V(sup p) (sub k (q,s; A, B, λ).
Rocznik
Tom
Strony
17--31
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
  • Department of Mathematics Faculty of Science Mansoura University Mansoura 35516, Egypt, mkaouf127@yahoo.com
Bibliografia
  • [1] M. K. Aouf, H. M. Hossen and H. M. Srivastava, Some families of multivalent functions, Comput. Math. Appl. 39(2000), 39-48.
  • [2] S. D. Bernardi, Convex and starlike univalent functions, Trans. Amer. Math. Soc. 135(1996), 429-446.
  • [3] J. Dziok, Classes of analytic functions involving some integral operator, Folia Sci. Univ. Tech. Resoviensis 20(1995), 21-39.
  • [4] J. Dziok and H. M. Srivastava, Classes of analytic functions with the generalized hypergeometric function, Applied Math. Comput. 103(1999), 1-13.
  • [5] 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.
  • [6] Vinod Kumar and S. L. Shukla, Multivalent functions defined by Ruscheweyh derivatives, Indian J. Pure Appl. Math. 15(1984), no. 11, 1216-1227.
  • [7] Yinod Kurnar and S. L. Shukla, Multivaent functions defined by Ruscheweyh derivatives II, Indian J. Pure Appl. Math. 15(1984), no. 11, 1228-1238.
  • [8] R. J. Libera, Some classes of regular univalent functions, Proc. Amer. Math. Soc. 16(1969), 755-758.
  • [9] A. E. Livingston, On the radius of univalence of certain analytic functions, Proc. Amer. Math. Soc. 17(1966), 352-357.
  • [10] S. Owa, On the distortion theorems. I, Kyungpook Math. J. 18(1978), 53-59.
  • [11] S. Owa, On certain classes of p-valent functions with negative coefficients, Simon Stevin, 59(1985), 385-402.
  • [12] H. Saitoh, A linear operator and its applications of frst order differential subordinations, Math. Japon. 44(1996), 31-38.
  • [13] A. Schild and H. Silverman, Convolution univalent functions with negative coefficients, Ann. Univ. Mariae Curie-Sklodowska Sect. A, 29(1975), 99-107.
  • [14] H. M. Srivastava and M. K. Aouf, A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients. I and II, J. Math. Anal. Appl. 171(1992), 1-13, 192(1995), 673-688.
  • [15] H. M. Srivastava and S. Owa, A new class of analytic functions with negative coefficients, Comment. Math. Univ. St. Paul. 35(1986), 175-188.
  • [16] H. M. Srivastava and S. Owa (Eds.), Univalent Functions, Fractional Caculus, and Their Applications, Halsted Press (Ellis Horword Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1989.
  • [17] H. M. Srivastava and S. Owa (Eds.), Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, New Jesrsey, London, and Hong Kong, 1992.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA7-0031-0002
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