Browse > Article
http://dx.doi.org/10.5831/HMJ.2018.40.2.315

SUBORDINATION RESULTS FOR CERTAIN SUBCLASSES BY USING INTEGRAL OPERATOR DEFINED IN THE SPACE OF ANALYTIC FUNCTIONS  

Sakar, F. Muge (Department of Business Administration, Faculty of Management and Economics, Batman University)
Guney, H. Ozlem (Department of Mathematics, Faculty of Science, Dicle University)
Publication Information
Honam Mathematical Journal / v.40, no.2, 2018 , pp. 315-323 More about this Journal
Abstract
In this study, firstly we introduce generalized differential and integral operator, also using integral operator two classes are presented. Furthermore, some subordination results involving the Hadamard product (Convolution) for these subclasses of analytic function are proved. A number of consequences of some of these subordination results are also discussed.
Keywords
Subordination; integral operator; analytic function; factor sequences; Convolution;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Cho, N. E. and Kim, T. H., Multiplier transformations and strongly close-to-convex functions, Bull. Korean Math. Soc. 40 (2003), 399-410.   DOI
2 Cho, N. E. and Srivastava, H. M., Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modeling 37 (2003), 39-49.   DOI
3 Darus, M. and Faisal, I., Characrerization properties for a class of analytic functions defined by generalized Cho and Srivastava operator, In: Proc. 2nd Inter. Conf. Math. Sci., Kuala Lumpur, Malaysia, (2010), 1106-1113.
4 Darus, M. and Faisal, I., A different approach to normalized analytic functions through meromorphic functions defined by extended multiplier transformations operator, Int. J. App. Math. Stat. (2011), 23(11), 112-121.
5 Faisal, I., Darus, M. and Siregar, S., A Study of Certain New Subclasses defined in the Space of Analytic Functions, Revista Notas de Matemtica, Vol.7(2), No. 315, (2011), 152-161.
6 Flett, T. M., The dual of an inequality of Hardy and Littlewood and some related inequalities, J. Math. Anal. Appl. 38 (1972), 746-765.   DOI
7 Jung, T. B., Kim, Y. C. and Srivastava, H. M., The Hardy space of analytic functions associated with certain one-parameter families of integral operator, J. Math. Anal. Appl. 176 (1993), 138-147.   DOI
8 Patel, J. Inclusion relations and convolution properties of certain subclasses of analytic functions defined by a generalized Salagean operator, Bull. Belg. Math. Soc. Simon Stevin 15(2008), 33-47.
9 Salagean, G. S. Subclasses of univalent functions. Lecture Notes in Mathematics 1013, SpringerVerlag (1983), 362-372.
10 Singh, S., A subordination theorem for spirallike functions, Int.J.Math.Sci. (2000), 24(7), 433-435.   DOI
11 Uralegaddi, B. A. and Somanatha, C., Certain classes of univalent functions, In: Current Topics in Analytic Function Theory. Eds. Srivastava, H. M. and Owa, S., World Scientific Publishing Company, Singapore, (1992), 371-374.
12 Al-Oboudi, F. M., On univalent functions defined by a generalized Salagean operator, Int. J. Math. Math. Sci. (2004), 1429-1436.
13 Aouf, M. K., El-Ashwah, R. M. and El-Deeb, S. M., Some inequalities for certain pvalent functions involving extended multiplier transformations, Proc. Pakistan Acad. Sci. 46 (2009), 217-221.
14 Wilf, H. S., Subordinating factor sequences for convex maps of the unit circle, Proc.Amer. Math. Soc., 12 (1961), 689-693.   DOI