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Fekete-Szego Inequalities for Quasi-Subordination Functions Classes of Complex Order

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In this paper, we obtain Fekete-Szego inequalities for certain subclasses of analytic univalent functions of complex order associated with quasi-subordination.

Abstract

In this paper, we obtain Fekete-Szego inequalities for certain subclasses of analytic univalent functions of complex order associated with quasi-subordination.

참고문헌 (25)

  1. K. Al-Shaqsi., "On Fekete-Szeg¨o Problems for Certain Subclass of Analytic Functions", Applied Mathematical Sciences, 2(9), pp.431~441 (2008)
  2. O. Altintas., "Majorizations and quasi-subordinations for certain analytic functions", Proc. Japan Acad. Ser. A Math. Sci, 68(7), pp.181~185 (1992)
  3. P. N. Chichra, "Regular functions f(z)for which zf ′(z)is-spirallike", Proc. Amer. Math. Soc, 49, pp.151~160 (1975)
  4. P. L. Duren, "Univalent functions’" (1983), Springer-Verlag
  5. M. Fekete., "Eine bemerkung uberungerade schlichte funktionen", J. Lond. Math. Soc, 8, pp.85~89 (1933)
  6. P. Goswami., "Majorization properties for certain classes of analytic functions using the Scalcagean operator", Appl. Math. Lett, 23(11), pp.1351~1354 (2010)
  7. Y. Hashidume., "Majorization problems for certain analytic functions", Int. J. Open Problems Compt. Math, 1(3), pp.179~187 (2008)
  8. S. Kanas, "An unified approach to the Fekete-Szeg¨o problem", Appl. Math. Comput, 218, pp.8453~8461 (2012)
  9. S. Kanas, "Differential subordination related to conic sections", J. Math. Anal. Appl, 317(2), pp.650~658 (2006)
  10. S. Kanas, "Subordinations for domains bounded by conic sections", Bull. Belg. Math. Soc. Simon Stevin, 15, pp.1~10 (2008)
  11. S. Kanas, "Techniques of the differential subordination for domains bounded by conic sections", Int. J. Math. Math. Sci, 38, pp.2389~2400 (2003)
  12. S. Kanas., "Differential subordinations involving arithmetic and geometric means", Appl. Math. Comput, 222, pp.123~131 (2013)
  13. S. Kanas., "Fekete-Szeg¨o problem for starlike and convex functions of complex order", Appl. Math. Letters, 23, pp.777~782 (2010)
  14. F. R. Keogh., "A coefficient inequality for certain classes of analytic functions", Proc. Amer. Math. Soc, 20, pp.8~12 (1969)
  15. R. J. Libera, "Univalent-spiral functions", Canad. J. Math, 19, pp.449~456 (1967)
  16. T. H. MacGregor, "Majorization by univalent functions", Duke Math. J, 34, pp.95~102 (1967)
  17. W. Ma., "A unified treatment of some special classes of univalent functions", in Proceedings of the conference on complex Analysis, pp.157~169 (1994), Int. Press
  18. S. S. Miller, "Differential subordinations: Theory and Applications" (2000), Marcel Dekker, Inc
  19. M. H. Mohd., "Fekete-Szeg¨o problems for quasi-subordination classes", Abstr. Appl.Anal, 192956, pp.1~14 (2012)
  20. G. Murugusundaramoorthy., "On the Fekete-Szeg¨o problem for some subclasses of analytic functions defined by convolution", Proc. Pakistan Acad. Sci, 44, pp.249~254 (2007)
  21. V. Ravichandran., "Certain subclasses of starlike and convex functions of complex order", Hacet. J. Math. Stat, 34, pp.9~15 (2005)
  22. M. S. Robertson, "Quasi-subordination and coefficient conjectures", Bull. Amer. Math. Soc, 76, pp.1~9 (1970)
  23. M. S. Robertson, "On the theory of univalent functions", Ann. of Math, 37, pp.374~408 (1936)
  24. T. N. Shanmugam., "On the Fekete-Szeg¨o problem for some subclasses of analytic functions", J. Inequal. Pure Appl. Math, 6(3), pp.1~15 (2005)
  25. H. M. Srivastava., "The Fekete-Szeg¨o problem for a subclass of close-to-convex functions", Complex Variables Theory Appl, 44, pp.145~163 (2001)

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