Differential bubordinations and argument inequalities for certain multivalent functions defined by convolution structure
Abstract
The main object of the present paper is to investigate certain interesting argument inequalities and differential subordinations properties of multivalent functions associated with a linear operator $D_{\lambda ,p}^{n}(f\ast g)(z)\ $defined by Hadamard product
Keywords
References
- [1] F. M. Al-Oboudi, On univalent function defined by a generalized Salagean operator, Internat. J. Math. Math. Sci., 27(2004),1429-1436.
- [2] M. K. Aouf and A.O. Mostaafa, On a subclass of p-valent functions prestarlike functions, Comput. Math. Appl., (2008), no. 55, 851-861.
- [3] M.K.Aouf and A.O.Mostafa, Sandwich theorems for analytic functions defined by convolution, Acta Univ. Apulensis, 21(2010), 7-20.
- [4] T. Bulboaca, Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.
- [5] A. Catas, On certain classes of p-valent functions defined by multiplier transformations, in Proceedings of the International Symposium on Geometric Function Theory and Applications: GFTA 2007 Proceedings (˙Istanbul, Turkey; 20-24 August 2007) (S. Owa and Y. Polatog¸lu, Editors), pp. 241–250, TC İstanbul Kültür University Publications, Vol. 91, TC İstanbul Kültür University, İstanbul, Turkey, 2008.
- [6] N. E.Cho, O. S. Kwon and H. M Srivastava, Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators, J. Math. Anal. Appl., 292(2004), 470-483.
- [7] J. H. Choi, M. Saigo and H. M. Srivastava, Some inclusion properties of a certain family of integral operators, J. Math. Anal. Appl. 276(2002), 432-445.
- [8] J. Dziok and H. M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999), no. 1, 1–13.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Mohamed Kamal Aouf
This is me
Egypt
Rabha El-ashwah
This is me
Egypt
Ekram Elsayed Ali
*
Egypt
Publication Date
June 30, 2018
Submission Date
March 12, 2018
Acceptance Date
June 5, 2018
Published in Issue
Year 2018 Volume: 1 Number: 1
