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Coeffcient Bounds for Several Subclasses of Analytic and Bi-univalent Functions

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In the present paper, some generalizations of analytic functions have been considered and the bounds of the coe cients of these classes of bi-univalent functions have been investigated

Abstract

In the present paper, some generalizations of analytic functions have been considered and the bounds of the coe cients of these classes of bi-univalent functions have been investigated

참고문헌 (16)

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  6. B. A. Frasin, "New subclasses of bi-univalent functions", Appl. Math. Lett, 24, pp.1569~1573 (2011)
  7. Z. Lewandowski, "Gamma-starlike functions", Ann. Univ. Mariae Curie-Sk lodowska Sect. A, 28, pp.53~58 (1974)
  8. M. Lewin, "On a coefficient problem for bi-univalent functions", Proc. Amer. Math. Soc, 18, pp.63~68 (1967)
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  10. P. T. Mocanu, "Une propriete de convexite generalisee dans la theorie de la representation conforme", Mathematica(Cluj), 11, pp.127~133 (1969)
  11. E. Netanyahu, "The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in |z| < 1", Arch. Rational Mech. Anal, 32, pp.100~112 (1969)
  12. Certain subclasses of bi-univalent functions associated with the Komatu operator, "S. Rahrovi", ~
  13. J. Sokol, "On a condition for α-starlikeness", J. Math. Anal. Appl., 352, pp.696~701 (2009)
  14. J. Sokol, "A certain class of starlike functions", Comput. Math. Appl, 62, pp.611~619 (2011)
  15. H. M. Srivastava, "Certain subclasses of analytic and bi-univalent functions", Appl. Math. Lett, 23, pp.1188~1192 (2010)
  16. Q. H. Xu, "Coefficient estimates for a certain subclass of analytic and bi-univalent functions", Appl. Math. Lett, 25, pp.990~994 (2012)

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