Fekete-Szego Problems Involving Certain Integral Operator

  IJMTT-book-cover
 		 International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2014 by IJMTT Journal
Volume-7 Number-1                          
Year of Publication : 2014
Authors : Jamal Salah
  10.14445/22315373/IJMTT-V7P508

MLA

Jamal Salah. "Fekete-Szego Problems Involving Certain Integral Operator", International Journal of Mathematical Trends and Technology (IJMTT). V7:54-60 March 2014. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper, we obtain Fekete-Szego inequality for certain normalized analytic function f (z) de ned on the open unit disc for which z(J;f(z))0 J;f(z) ; (0  - 1 < 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 de ned by Hadamard product are given.

References

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Keywords
Caputo's di erentiation operator;; Hadamard product;Analytic functions; Starlike functions; Fekete-Szego inequality.