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Fekete-Szeg\"{o} problem for subclasses of starlike functions with respect to symmetric points

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Abstract

In the present investigation, sharp upper bounds ofja3 a22j for functionsf(z) = z + a2z2 + a3z3 + belongingto certain subclas1ses of starlike and convex functions with respectto symmetric points are obtained. Also certain applications of themain results for subclasses of functions dened by convolution witha normalized analytic function are given. In particular, Fekete-Szego inequalities for certain classes of functions dened throughfractional derivatives are obtained.

참고문헌 (15)

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  3. "On the Fekete-Szego theorem for close-to-convex functions", 47(1), pp.125~132 (1998)
  4. "On the Fekete-Szego problem", 24(9), pp.577~581 (2000)
  5. "Some extremal problems for certain families of analytic functions", 21, pp.17~25 (1973)
  6. "A unied treatment of some special classes of univalentfunctions Procedings of the Conference on Complex Analysis", pp.169~ (1994), Internat. Press
  7. "Starlike and convex functions with respect to conjugate points", 20(1), pp.31~37 (2004)
  8. "Fekete-Szego inequality for certain class of analytic functions", 1(2) (2004)
  9. "Fekete-Szego inequality forcertain class of Bazilevic functions", 15(2), pp.171~180 (2004)
  10. "Uniformly convex functions and a corresponding class of starlikefunctions", pp.196~ (1993)
  11. "On a certain univalent mapping", pp.72~75 (1959)
  12. "Subclasses of starlike functions subordinate toconvex functions", pp.61~ (1985)
  13. "Fekete-Szego problem for asubclass of close-to-convex functions", 44(2), pp.145~163 (2001)
  14. "An application of the fractional derivative", pp.389~ (1984)
  15. "Fekete-Szeg\"o functional for non-Bazilevi\v c functions", 18(2), pp.63~65 (2002)

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