ON DIFFERENTIAL SUBORDINATIONS CONNECTED WITH BAZILOEVIC FUNCTIONS RELATED TO A SECTOR. | ||
| Journal of University of Anbar for Pure Science | ||
| Article 22, Volume 2, Issue 2, August 2008, Pages 111-117 PDF (351.4 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2008.15344 | ||
| Authors | ||
| Alaa A. Awad1; Abdulrehman Slman2 | ||
| 1College of Education-Anbar university | ||
| 2College of Education - Anbar University | ||
| Abstract | ||
| In this investigation we generalized the class introduced by J. patel [7] of multivalent analytic functions to the subclass which has been recently published. Also we derive various properties by using the techniques of Briat-Bouquet differential subordination. | ||
| Keywords | ||
| Bazilevic function; Differential subordination; multivalent function | ||
| References | ||
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[1] W.M.CASEY and E.P.Merkes, Radii of starlikeness for certain classes of analytic functions, J. Math. Anal. Appl., 31 (1970), 579-581.
[2] S.S.Miller and P.T.Mocanu, Differential subordinations and univalent functions, Michigan Math. J . , 28 (1981), 157-171.
[3] S.S.Miller and P.T.Mocanu, univalent solutions of Briot-Bouquet differential subordinations , J. Differential Equations ,58 (1985), 297-304.
[4] M.Nunokawa, on the theory of multivalent –functions , Tsukuba J. math. , 11 (1987) , 273-286.
[5] S. Owa. and M. Obradovic, certain subclasses of Bazilevic functions of type α , int. J. Math. And Math. Sci., 9 (1986) , 347-359.
[6] J. Patel, On certain subclasses of P-Vantently Bazilevic function, JIAM, 6, 1, 16 (2005) ,1-13.
[7] J. Patel and S. Rout, An application of differential subordinations, Rendicontidi Mathematics, Se. vii , vol 14 (1994) , 367-384. | ||
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