...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 7 | Number 1 | Year 2014 | Article Id. IJMTT-V7P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V7P508

Fekete-Szego Problems Involving Certain Integral Operator


Jamal Salah
Abstract

In this paper, we obtain Fekete-Szeg¨o inequality for certain normalized analytic function f (z) defined on the open unit disc for which z(Jη,λf(z))0 Jη,λf(z) ,(0 6 η − 1 < λ < η < 2) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product are given.

Keywords
Caputo’s differentiation operator;; Hadamard product;Analytic functions; Starlike functions; Fekete-Szeg¨o inequality.
References

[1] K. Al-Shaqsi and M.Darus, On Fekete-Szego Problem For Certain Subclasses of Analytic Functions,Appl.Math.Sc,Vol. 2, 2008, no. 9,431-441.
[2] T.N.Shanmugam and S.Sivasubramanian, On Fekete-Szego Problem For Certain Subclasses of Analytic Functions, J.Ineq.Pure and Appl.Math. 6(3) Art.71.2005.
[3] H.M.SRISTAVA and A.K.MISHRA and M.K.DAS, The Fekete-Szegoproblem for a subclass of close-to-convex functions, Comples Variables, Theory Appl., 44(2001),145-163.
[4] W.MA and D.MINDA,A unified treatment of some special classes of univalent functions, in: Proceedings of Conference on Complex Analysis,Z.Li,F.Ren,L.Yang,and S.Zhang(Eds),Int.Press(1994),157-169.
[5] Salah. J Darus, M. Certain subclass of analytic functions associated with fractional calculus operator. Trans. J. Math. Mecha. 3(2011) 35-42.
[6] S.Owa and H.M.Srivastava, Univalent and starlike generalized hypergeometric functions, Canad.J.Math.39(5) (1987),1057-1077.

Citation :

Jamal Salah, "Fekete-Szego Problems Involving Certain Integral Operator," International Journal of Mathematics Trends and Technology (IJMTT), vol. 7, no. 1, pp. 54-60, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V7P508

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved