You are here

Inclusion Properties for Certain Subclasses of Analytic Functions Defined by a Multiplier Transformation

Journal Name:

Publication Year:

AMS Codes:

Abstract (2. Language): 
The purpose of the present paper is to investigate some inclusion properties of certain subclasses of analytic functions associated with a family of Multiplier transformations, which are defined by means of the Hadamard product (or convolution).
1124-1136

REFERENCES

References: 

[1] J.H. Choi, M. Saigo and H.M. Srivastava. Some inclusion properties of a certain family
of integral operators. J. Math. Anal. Appl., 276:432–445, 2002.
[2] T.M. Flett. The dual of an inequality of Hardy and Littlewood and some related inequalities.
J. Math. Anal. Appl., 38:746–765, 2002.
[3] I.B. Jung, Y.C. Kim and H.M. Srivastava. The Hardy space of analytic functions associated
with certain one-parameter families of integral operators. J. Math. Anal. Appl., 176:138–
147, 1993.
[4] D.J. Hallenback and S. Ruscheweyh. Subordination by convex functions. Proc. Amer.
Math. Soc., 52:191–195, 1975.
[5] J.-L. Liu. The Noor integral and strongly starlike functions. J. Math. Anal. Appl.,
261:441–447, 2001.
[6] K.I. Noor. On new classes of integral operators. J. Natur. Geom., 16:71–80, 1999.
[7] K.I. Noor and M.A. Noor. On integral operators. J. Math. Anal. Appl., 238:341–352,
1999.
[8] S.Owa and H.M. Srivastava. Some applications of the generalized Libera integral operator.
Proc. Japan Acad. Ser. A Math. Sci., 62:125–128, 1986.
[9] St.Ruscheweyh. Convolution in Geometric Function Theory. Les Presses de L’Université de
Montréal, 1982.
[10] G.S. Sˇalˇagean. Subclasses of univalent functions. Lecture Notes in Math., Springer-
Verlag, 1013:362–372, 1983.
[11] R. Singh and S. Singh. Convolution properties of a class of starlike functions. Proc. Amer.
Math. Soc., 106:145–152, 1989.
[12] Lucyna Trojnar-Spelina. On certain applications of Hadamard product. Applied Math.
Comput., 199:653–662, 2008.
[13] B.A. Uralegaddi and C. Somanatha. Certain classes of univalent functions. Current Topics
in Analytic Function Theory (Eds. H. M. Srivastava and S. Owa), World Scientific
Publishing Company Singapore, New Jersey, London, and Hong Kong, pages 371–374,
1992.

Thank you for copying data from http://www.arastirmax.com