Research ArticleOpen AccessGoogle Scholar indexed
On a Subordination Result of a Subclass of Analytic Functions
Department of Mathematics and Statistics, College of Pure and Applied Science, Kwara State University, Malete, Nigeria
- 1 Department of Mathematics and Statistics, College of Pure and Applied Science, Kwara State University, Malete, Nigeria
Advances in Pure Mathematics·Volume 07 (2017)·Pages 641–646·Published 14 November 2017·DOI10.4236/apm.2017.711038
Copy link · social · email
Abstract
In this paper, we investigate a subordination property and the coefficient inequality for the class M(1, b) , The lower bound is also provided for the real part of functions belonging to the class M(1, b) .
KeywordsAnalytic FunctionUnivalent FunctionHadamard ProductSubordination
- Wilf, H.S.( 1961) Surbodination Factor Sequence for Some Convex Maps Circle. Proceeding of the American Mathematical Society, 12, 689-693. https://doi.org/10.1090/S0002-9939-1961-0125214-5
- Jawonski, W. (1970) Extremal Problems for a Family of Functions with Positive Real Part and for Some Related Families. Annales Polonici Mathematici, 23, 159-177. https://doi.org/10.4064/ap-23-2-159-177
- Aghalary, R., Jajangiri, J.M. and Kulkarni, S.R. (2004) Starlikenness and Convexity for Classes of Functions Define d by Subordination. Journal of Inequalities in Pure and Applied Mathematics, 5, No. 2.
- Selveraj and Karthikeyan, K.R. (2008) Certain Subordination Results for a Class of Analytic Function Defined by Generalized Integral Operator. International Journal of Computing Science and Mathematics, 2, 166-169.