New Subclasses of Univalent Functions Defined Using a Linear Combination of Generalised S?al?agean and Ruscheweyh Operators

  • Matthew O. Oluwayemi Department of Mathematics, Landmark University, P.M.B. 1001, Omu-Aran, Nigeria
  • Olubunmi A. Fadipe-Joseph Department of Mathematics, University of Ilorin, P.M.B. 1515, Ilorin, Nigeria
Keywords: Univalent functions, Sigmoid function, Differential operator, Fekete-Szego inequality, Starlikeness, Convexity, Close-to-convex funtions.

Abstract

In the present paper, the authors investigated a subclass Tg Dl,w(a, b,x,m;p:n) of analytic functions in the open unit disk U. Using Ruscheweyh operator Rn fg(z) and a generalized S\val\vagean differential operator Dl,wn fg(z) involving modified Sigmoid function, a class of normalized analytic function given by:

Fl,wn fg(z)= m Dl,wn fg(z) + (1-m)Rn fg(z); l, w 0, m /span> [0,1],   n /span> N0,  z /span> U

was established. Some geometric properties of the subclass Tg Dl,w(a, b,x,m;p:n) were investigated. The results extended and generalized some earlier results.

Published
2018-04-12
How to Cite
Oluwayemi, M. O., & Fadipe-Joseph, O. A. (2018). New Subclasses of Univalent Functions Defined Using a Linear Combination of Generalised S?al?agean and Ruscheweyh Operators. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2017, 187 - 200. Retrieved from http://ijmso.unilag.edu.ng/article/view/8
Issue
Vol 2017
Section
Articles

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