On Some Properties of a Class of Analytic Functions Defined by Salagean Differential Operator

R. A. Bello; T. O. Opoola

R. A. Bello Department of Statistics and Mathematical Sciences, Kwara State University, Malete, Nigeria
T. O. Opoola Department of Mathematics, University of Ilorin, Ilorin, Nigeria

Keywords: Analytic functions, Salagean Differential Operator, Starlike functions, Univalent functions, Coefficient bounds, Fekete-Szego functional, Second Hankel Determinant and Subordination

Abstract

In this work,the upper bounds for Fekete-Szego functional and Second Hankel Determinant are obtained for a class of analytic functions defined
by Salagean Differential Operator.The estimates obtained are sharp.

Downloads

Download data is not yet available.

References

1. Bello.R.A and Opoola.T.O, Upper Bounds for Fekete-Szego functions and the Second Hankel Determinants for a class of Starlike. IOSR.Journal of Mathematics.Vol.13,Issue 2,(March-April,2017) Pp 34-39
2. Jantency.A,Halim.S and Dans.M, Hankel Determinants for Starlike and Convex functions.Int.Journal, Math.Analysis,1(2007), No 13,619-625
3. Kanika.S. Geometric Properties of a class of starlike functions Amer Journal of Mathematics and Mathematical Sciences.3(1), January-June 2014.ISSN 2278-0874, pp 59-65
4. Kowalezyk.B and Lecko.A. The Fekete-Szego Inequality for close-to-convex functions with respect to a certain starlike function dependent on a real parameter. Journal of Inequalities and Applications,2014
5. Ma W. C and D. Minda, A unified treatment of some special classes of univalent functions, in Proceedings of the Conference on Complex Analysis(Tianjin 1992), Pp.157-169, Conf. Proc. Lecture Notes Anal., I Int. Press, Cambridge,M.A
6. RainaR.K. and Sokol.J, On Coefficient Estimate For A Class of Starlike Functions, 2000 Mathematicc Subject Classification. Primary 30C45.