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The aim of this paper is to introduce two new classes of analytic function by using principle of subordination and the Dziok-Srivastava operator. We further investigate convolution properties for these calsses. We also nd necessary and sufficient condition and coefficient estimate for them.
Czasopismo
Rocznik
Tom
Strony
71--77
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
- Department of Mathematics, University of Rajasthan, Jaipur-302055, India
autor
- Department of Mathematics, University of Rajasthan, Jaipur-302055, India
autor
- Department of Mathematics School of Liberal Studies, Bharat Ratna Dr B.R. Ambedkar University, Delhi-110006, India
autor
- School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410076, Hunan, Peoples, Republic of China
Bibliografia
- [1] Ahuja, O.P, Families of analytic functions related to Ruscheweyh derivatives and subordinate to convex functions, Yokohama Math. J. 41 (1993), 39-50.
- [2] Aouf, M.K and Seoudy, T.M., Calsses of analytic functions related to the Dziok-Srivastav operator, Integral Transform and Special Function 1 (2010), 1-8.
- [3] Carlson, B.C. and Sha er, D.B., Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (1984), 737-745.
- [4] Dziok, J. and Srivastava, H.M., Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transforms Spec. Funct. 14 (2003), 7-18.
- [5] Dziok, J., Inclusion relationships between classes of functions defined by subordination. Ann. Polon. Math. 100 (2011), no. 2, 193-202.
- [6] Hohlov, Yu.E., Operators and operations in the class of univalent functions, Izv. Vyssh. Uchebn. Zaved. Mat. 10 (1978), 83-89 (in Russian).
- [7] Murugusundaramoorthy, G. and Magesh, N., Starlike and convex functions of complex order involving the Dziok-Srivastava operator, Integral Transforms Spec. Funct. 18(6) (2007), 419-425.
- [8] Noor, K.I., On new classes of integral operator, J. Nat. Geom. 16(1-2) (1999), 71-80.
- [9] Ruscheweyh, St., New criteria for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109-115.
- [10] Silverman, H. and Silvia, E.M., Subclasses of starlike functions subordinate to convex functions, Canad. J. Math. 1 (1985), 48-61.
- [11] Silverman, H., Silvia, E.M. and Telage, D., Convolution conditions for convexity, starlikeness and spiral-likeness, Math. Z 162 (1978), 125-130.
- [12] Srivastava, H. M. and Karlsson, P.W., Multiple Gaussian Hypergeometric Series, Ellis Horwood, Ltd., Chichester, Halsted Press, John-Wiley and Sons, Inc., NewYork, 1985.
- [13] Srivastava, H.M., Murugusundaramoorthy, G. and Sivasubramanian, S., Hypergeometric functions in the parabolic starlike and uniformly convex domains, Integral Transforms Spec. Funct. 18(7) (2007), 511-520.
- [14] Srivastava, H.M., Yang, D.G. and Xu, N. E., Subordinations for multivalent analytic functions associated with the Dziok-Srivastava operator, Integral Transforms Spec. Funct. 20(8) (2009), 581-606.
- [15] Wang, Z.G., Jiang, Y. P., and Srivastava, H.M., Some subclasses of multivalent analytic functions involving the Dziok-Srivastava operator, Integral Transforms Spec. Funct. 19(2) (2008), 29-146.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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