Properties for Certain Subclasses of Meromorphic Functions Associated with Differential Operator
Abstract
In this paper, we introduce and study the classes and of meromorphic univalent functions in and investiage distortion theorems, convex linear combinations and integral transforms of functions belonging to these classes.
Keywords and phrases: Analytic, meromorphic starlike functions, meromorphic convex functions, integral transforms, Hadamard products.
References
References:
M. K. Aouf, Certain subclass of meromorphically starlike functions with positive coefficients, Rend. Mat., 9(1989).
M. K. Aouf, Certain subclass of meromorphically univalent functions with positive coefficients, Rend. Mat., 11(1991).
N. E. Cho, Certain subclass of meromorphic functions with positive coefficients, J. Inst. Math. Comput. Sci., 3(1990), no. 2.
N. E. Cho, S. H. Lee and S. Owa, A class of meromorphic univalent functions with positive coefficients, Kobe J. Math., 4(1987).
R. M. El-Ashwah and M. K. Aouf, Hadamard product of certain meromorphic starlike and convex functions, Comput. Math. Appl., 57(2009), 1102-1106.
B. A. Frasin and M. Darus. On certain meromorphic functions with positive coefficients, South. Asian Bull. Math., 28 (2004).
J. E. Miller, Convex meromorphic mapping and related functions, Proc. Amer. Math. Sci., 25(1970), 220-228.
M. L. Mogra, T.R. Reddy and P. O. Juneja, Meromorphic univalent functions with positive coefficients, Bull. Aust. Math. Sci.,32(1985).
Ch. Pommerenke, On meromorphic starlike functions, Pacific J. Math., 13(1963).
A. Schild and H. Silverman, Convolution of univalent functions with negative coefficients, Ann. Univ. Mariae Curie-Sklodwska Sect. A, 29(1975).