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Abstrakty
Using the Wright's generalized hypergeometric function, we introduce a new class Wk (p, q, s; A, B, lambda) of analytic p-valent functions with negative coefficients. In this paper we investigate coefficients estimates, distortion theorem, the radii of p-valent starlikeness and p-valent convexity and modified Hadamard products.
Wydawca
Czasopismo
Rocznik
Tom
Strony
39--54
Opis fizyczny
Bibliogr. 27 poz.
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autor
autor
autor
autor
- Department of Mathematics Faculty of Science Mansoura University Mansoura 35516, Egypt, mkaouf127@yahoo.com
Bibliografia
- [1] M. K. Aouf, Certain class of analytic functions associated with the generalized hyper-geometric function, J. Math. Appl. 29 (2007), 13-17
- [2] M. K. Aouf, J. Dziok, Certain class of analytic functions associated with the Wright generalized hypergeometric function, J. Math. Appl. 30 (2008), 23-32.
- [3] M. K. Aouf, H. Silverman, H. M. Srivastava, Some subclasses of functions involving a certain linear operator, Adv. Stud. Contemp. Math. 14 (2007), 215-232.
- [4] S. D. Bernardi, Convex and univalent functions, Trans. Amer. Math. Soc. 135 (1996), 429-446.
- [5] N. E. Cho, O. H. Kwon, H. M. Srivastava, 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.
- [6] J. Dziok, R. K. Raina, Families of analytic functions associated with the Wright generalized hypergeometric function, Demonstratio Math. 37 (2004), 533-542.
- [7] J. Dziok, R. K. Raina, H. M. Srivastava, Some classes of analytic functions associated with operators on Hilbert space involving Wright hyper geometric function, Proc. Jangieon Math. Soc. 7 (2004), 43-55.
- [8] J. Dziok, H. M. Srivastava, Classes of analytic functions with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999), 1-13.
- [9] J. Dziok, H. M. Srivastava, Certain subclasses of analytic functions associated with the Wright generalized hypergeometric function, Integral Transform. Spec. Funct. 14 (2003), 7-18.
- [10] A. Gangadharan, T. N. Shanmugam, H. M. Srivastava, Generalized hypergeometric function associated with k-uniformly convex functions, Comput. Math. Appl. 44 (2002), 1515-1526.
- [11] P. W. Karlsson, H. M. Srivastava, Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Ltd, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and London, 1985.
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- [13] V. Kumar, S. L. Shukla, Multivalent functions defined by Ruscheweyh derivatives II, Indian J. Pure Appl. Math. 15 (1984), 1228-1238.
- [14] R. J. Libera, Some classes of regular univalent functions, Proc. Amer. Math. Soc. 16 (1969), 755-758.
- [15] J.-L. Liu, Strongly starlike functions associated with the Dziok-Srivastava operator, Tamkang J. Math. 35 (2004), 37-42.
- [16] J.-L. Liu, K. I. Noor, Some properties of Noor integral operator, J. Natur. Geom. 21 (2002), 81-90.
- [17] A. E. Livingston, On the radius of univalence of certain analytic functions, Proc. Amer. Math. Soc. 17 (1966), 352-357.
- [18] S. Owa, On the distortion theorems, I, Kyungpook Math. J. 18 (1978), 53-59.
- [19] S. Owa, On certain classes of p-valent functions with negative coefficients, Simon Stevin 59 (1985), 385-402.
- [20] S. Owa, H. M. Srivastava, Univalent and starlike generalized hypergeometric functions, Canad. J. Math. 39 (1987), 1057-1077.
- [21] R. K. Raina, T. S. Nahar, A note on boundedness properties of Wright’s generalized hypergeometric function, Ann. Math. Blaise Pascal 4 (1997), 83-95.
- [22] R. K. Raina, T. S. Nahar, On characterization of certain Wright’s generalized hyper-geometric functions involving certain subclasses of analytic functions, Informatica 10 (1999), 219-230
- [23] R. K. Raina, T. S. Nahar, On univalent and starlike Wright’s hypergeometric functions, Rend. Sem. Math. Univ. Padova 95 (1996), 11-22.
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- [26] H. M. Srivastava, M. K. Aouf, A certain fractional derivative operator and its application 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.
- [27] 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-article-PWA5-0027-0025