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The Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions
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  • Journal title : Kyungpook mathematical journal
  • Volume 50, Issue 1,  2010, pp.37-47
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2010.50.1.037
 Title & Authors
The Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions
Deniz, Erhan; Orhan, Halit;
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In this present work, the authors obtain Fekete-Szeg inequality for certain normalized analytic function f(z) defined on the open unit disk for which ) 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 (or convolution) are given. As a special case of this result, Fekete-Szeg inequality for a class of functions defined through fractional derivatives is obtained. The motivation of this paper is to generalize the Fekete-Szeg inequalities obtained by Srivastava et al., Orhan et al. and Shanmugam et al., by making use of the generalized differential operator .
Fekete-Szeg problem;Analytic functions;Hadamard product;Starlike functions;
 Cited by
Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions,Orhan, Halit;Yagmur, Nihat;Caglar, Murat;

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F.M. Al-Oboudi, On univalent functions defined by a generalized Salagean operator, Int. J. Math. Math. Sci., 27(2004), 1429-1436.

A. W. Goodman, Uniformly convex functions, Ann. Polon. Math., 56(1991), 87-92.

W. Ma and D. Minda, A unified treatment of some special classes of univalent functions, in: Proceedings of the Conference on Complex Analysis, Z. Li, F. Ren, L. Yang, and S. Zhan (Eds.), Int. Press, 1994, 157-169.

H. Orhan and E. Gunes, Fekete-Szego Inequality for Certain Subclass of Analytic Functions, General Mathematics, 14(2006), 41-54.

S. Owa and H. M. Srivastava, Univalent and starlike generalized hypergeometric functions, Canad. J. Math., 39(1987), 1057-1077. crossref(new window)

D. Raducanu and H. Orhan, Subclasses of analytic functions defined by a generalized differential operator, Int. Journal of Math. Analysis, Vol.4(1)(2010), 1-15.

F. Ronning, Uniformly convex function and a corresponding class of starlike functions, Proc. Amer. Math. Soc., 118(1993), 189-196. crossref(new window)

G.S. Salagean, Subclasses of univalent functions, Complex analysis-Proc. 5th Rom.-Finn. Semin., Bucharest 1981, Part 1, Lect. Notes Math., 1013(1983), 362-372. crossref(new window)

T. N. Shanmugam and S. Sivasubramanian, On the Fekete-Szego problem for some subclasses of analytic functions, JIPAM, Vol. 6, Issue 3, Article, 71(2005), 1-6.

H. M. Srivastava and A. K. Mishra, Applications of fractional calculus to parabolic starlike and uniformly convex functions, Computer Math. Appl., 39(2000), 57-69.

H. M. Srivastava and A. K. Mishra and M. K. Das, The Fekete- Szego problem for a subclass of close-to-convex functions, Complex Variables, Theory Appl., 44(2)(2001), 145-163. crossref(new window)