Subordination Results of Analytic Functions Defined by Convolution
DOI:
https://doi.org/10.37375/susj.v13i1.1373الكلمات المفتاحية:
Analytic function، univalent functions، Hadamard product، subordinating، factor sequenceالملخص
The purpose of this paper is to study some known interesting subordination results for analytic functions defined in the open unite disk Especially, it is to obtain subordination results for a family of univalent functions which are defined by means of the convolution. Relevant connections of the results presented here with those obtained in earlier works are also pointed out. However, our results generalize and extend some earlier results in the literature.
المراجع
M. K. Aouf, A. A. Shamandy, A. O. Mostafa and A. K. Wagdy, Subordination results for subclasses of analytic functions defined by convolution, Acta Univ. Apulensis, 31(2012), 129-140.
T.Bulboaca, Differential Subordination and Subordinations, Recent Results, House of-Scientific Book Publ..Cluj-Napoca. 2005.
A. Cãtãs, G. I.Oros and G. Oros, Differential subordinations associated with multiplier transformations, Abstract Appl. Anal., 2008(2008), ID845724, 1-11.
J.D ziok and H. Srivastava, Classes of analytic functions with the generalized hypergeometric function, Appl. Math. Comput., 103(1999),1-13.
S.S. Miller and P. T. Mocanu, Differential Subordinations Theory and Applications, in: Series on Monograph and Textbooks in Pure and Appl. Math., 255, Marcel Dekker, Inc, New York, 2000.
G. Murugusundaramoorthy and B. A. Frasin, Family of analytic functions defined by convolution, Romai J., 1(2011), no. 7, 125-139.
M. S. Roberston, On the theory of univalent functions, Ann. Math., 37(1936), 374-408.
H. S. Wilf, Subordinatinting factor sequence for convex maps of the unit circle, Proc.
