International Journal of Research and Studies Publishing
A Class of p-valent Functions Defined by Differential OperatorDr. Salma Faraj Ramadan Assistant Professor, Mathematics Department, Science, Sabratha University Sabratha, Libya
Abstract: In the present paper, we introduce the class A of p-valent analytic functions in the open unit disk We investigate some inclusion properties, coefficient bounds, distortion theorem, -neighborhoods and partial sums. Also we obtain integral representation, weighted and arithmetic mean. Keywords: Differential subordination, p-valent functions, differential operator Assistant Professor, Mathematics Department, Science, Sabratha University Sabratha, Libya
[1] F. M. Al-Oboudi F. M. 2004. On univalent functions defined by a generalized Salagean operator. Int. J. Math. Sci. 25-28: 1429-1436.
[2] O. Altintas, S. Owa. Neighbor hoods of certain analytic functions with negative coefficients. Int. J. Math. Sci., 19 (1996), 797-800. [3] O. Altintas, O. Ozkan. H. M. Srivastava. Nieghborhoods of a certain family of multivalent functions with negative coefficients. Comp. Math. Appl., 47(2004) 1667-1672. [4] M. Darus, R. W. Ibrahim 2009. On subclasses for generalized operarors of complex order. Far Est Journal of Math. Sci. 33 (3): 299-308. [5] H. E. Darwish, A. Y. Lashin, S. M. Soileh. An application of multiplier transformations for certain subclass of meromorphically p-valent functions. Int. J. Pur. App. Math., 2(2013), 415-433. [6] A. W. Goodman. Univalen functions and nonanalytic curves. Proc. Amr. Math. Soc., 8(1957), 598-601. [7] J-L. Liu, H. M. Srivastava. A linear operator and associated families of meromorphically multivalent functions. J. Math. Anal. Appl., 295(200), 566-581. [8] S. Rusheweyh, neighborhoods of univalent functions. Proc. Amer. Math. Soc., 81(1981), 521-527. [9] Salma F. Ramadan, Maslina Darus 2010. On the Fekete-Sezego inequality for a class of analytic functions defined by using generalized differential operator. Acta Universitatis Apulensis. 26(2011), 167-178. [10] Sãlãgean G. S. Subclasses of univalent functions in Complex Analysis. Fifth Romanian-Finnish Seminar Part I (Bucharest, 1981),Lecture Notes in Mathematics 1013. Springer-Verlag, Berlin and New York (1983). |
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