Some Results for Certain Subclasses of Functions with Differential Equation and Subordination

[1] F.M. Al-Oboudi and K.A. Al-Amoudi. Subordination results for classes of analytic functions
related to conic domains defined by a fractional operator. J. Math. Anal. Appl,
35(4):412-420, 2009.
[2] O. Altinta¸s, Ö. Özkan, and H.M. Srivastava. Neighborhoods of a certain family of multivalent
functions with negative coefficients.Computers Math.Applic, 47:1667-1672, 2004.
[3] A.Y. Lashin. On a certain subclass of starlike functions with negative coefficients.J. Ineq.
Pure Appl. Math., 10(2):article 40, 2009.
[4] J.E. Littlewood. On inequalities in the theory of functions. Proc. London Math. Soc,
23:481-519, 1925.
[5] M. Marouf. On a subclass of analytic functions with negative coefficients defined by
a fractional differential operator. Int.J.Open problems.Complex analysis, 2(2):140-153,
2010.
[6] S. Owa and H.M. Srivastava. Univalent and starlike generalized hypergeometric functions.
Canad. J. Math, 39(5):1057-1077, 1987.
[7] S. Ruscheweyh. Convolutions in geometric function theory. Les Presses de I ˛ a˝oUniv.de
Montreal, 1982.
[8] H. Silverman. Univalent functions with negative coefficients. Proc. Amer. Math. Soc,
51:109-116, 1975.
[9] H.S. Wilf. Subordinating factor sequences for convex maps of the unit circle. Proc. Am.
Math. Soc, 12:689-693,1961.