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Fekete-Szego problem for certain subclasses of analytic functions

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EN
Abstrakty
EN
In this present investigation, authors introduce certain subclasses of star like and convex functions of complex order b, using a linear multiplier differential operator (…). In this paper, for these classes the Fekete-Szegö problem is completely solved. Various new special cases of our results are also pointed out.
Wydawca
Rocznik
Strony
835--846
Opis fizyczny
Bibliogr. 21 poz.
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autor
autor
autor
  • Department Of Mathematics Faculty Of Science Ataturk University Erzurum, 25240, Turkey, horhan@atauni.edu.tr
Bibliografia
  • [1] H.R.Abdel Gawad, D.K.Thomas, The Fekete–Szegö problem for strongly close-to-convex functions Proc. Amer. Math. Soc. 114 (1992), 345–349.
  • [2] F.M.Al Oboudi, On univalent functions defined by a generalized Salagean operator Int.J. Math. Math. Sci. 27 (2004), 1429–1436.
  • [3] A.Chonweerayoot, D.K.Thomas, W.Upakarnitikaset, On the Fekete–Szegö theorem for close-to-convex functions Publ. Inst. Math. (Beograd)(N.S.) 66 (1992), 18–26.
  • [4] M.Darus, D.K.Thomas, On the Fekete–Szegö theorem for close-to-convex functions Math.Japon.44 (1996), 507–511.
  • [5] M.Darus, D.K.Thomas, On the Fekete–Szegö theorem for close-to-convex functions Math.Japon.47 (1998), 125–132.
  • [6] E.Deniz, H.Orhan, The Fekete–Szegö problem for a generalized subclass of analytic functions Kyungpook Math.J. 50 (2010), 37–47.
  • [7] M.Fekete, G.Szegö, Eine Bemerkung über ungerade schlichte Funktionen J.Lond. Math. Soc.8 (1933), 85–89.
  • [8] S.Kanas, H.E.Darwish, Fekete–Szegö problem for starlike and convex functions of complex order Appl. Math. Lett. 23(7) (2010), 777–782.
  • [9] F.R.Keogh, E.P.Merkes, A coefficient inequality for certain classes of analytic functions Proc. Amer. Math. Soc. 20 1969), 8–12.
  • [10] W.Koepf, On the Fekete–Szegö problem for close-to-convex functions Proc. Amer. Math.Soc.101 (1987),89 –95.
  • [11] R.R.London, Fekete–Szegö inequalities for close-to-convex functions Proc. Amer. Math.Soc.117 (1993),947 –950.
  • [12] W.Ma, D.Minda, A unified treatment of some special classes of univalent functions in: Z.Li, F.Ren, L.Yang, S.Zhang (Eds.), Proceeding of Conference on Complex Analytic, Int. Press, 1994, 157–169.
  • [13] M.A.Nasr, M.K.Aouf, Starlike function of complex order J.Natur.Sci.Math.25 (1985), 1–12.
  • [14] M.A.Nasr, M.K.Aouf, On convex functions of complex order Mansoura Sci.Bull. (1982), 565–582.
  • [15] H.Orhan, E.Deniz, D.Răducanu, The Fekete–Szegö problem for subclasses of analytic functions defined by a differential operator related to conic domains Comput. Math. Appl.59 (2010), 283–295.
  • [16] H.Orhan, D.Răducanu, Fekete–Szegö problem for strongly starlike functions associated with generalized hypergeometric functions Math. Comput. Modelling 50 (2009), 430–438.
  • [17] A.Puger, The Fekete–Szegö inequality by a variational method Ann. Acad. Sci. Fenn. Ser. A I Math.10 (1984).
  • [18] C.Pommerenke, Univalent Functions in: Studia Mathematica Mathematische Lehrbucher, Vandenhoeck and Ruprecht, 1975.
  • [19] D.Răducanu, H.Orhan, Subclasses of analytic functions defined by a generalized differential operator Int. J.Math. Anal. 4(1) (2010), 1–15.
  • [20] G.S.Sălăgean, Subclasses of univalent functions Complex analysis, Proc. 5th Rom. Finn. Semin., Bucharest 1981, Part 1, Lect. Notes Math.1013 (1983), 362–372.
  • [21] P.Wiatrowski, The coefficients of a certain family of holomorphic functions Zeszyty Nauk. Uniw. Łódz., Nauki. Mat. Przyrod. Ser.II (1971), 75–85.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0035-0027
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