On certain subclasses of meromorphic functions Defined by convolution with positive and fixed second coefficients
Keywords:
Meromorphic, coefficient inequality, fixed second coefficient, distortion theorem, radii of starlikeness and convexity.Abstract
In this paper we consider the class M(f; g; α; β; λ; c) of meromorphic univalent functions defined by convolution with positive coefficients and fixed second coefficients. We obtained coefficient inequalities, distortion theorems, closure theorems, the radii of meromorphic starlikeness, and convexity for functions of this class.
Mathematics Subject Classification (2010): 30C45.
References
Aouf, M.K., A certain subclass of meromorphically starlike functions with positive coefficients, Rend. Mat., 9(1989), 255-235.
Aouf, M.K., On a certain class of meromorphically univalent functions with positive coefficients, Rend. Mat., 11(1991), 209-219.
Aouf, M.K., Darwish, H.E., Certain meromorphically starlike functions with positive and fixed second coefficients, Turkish J. Math., 21(1997), no. 3, 311-316.
Aouf, M.K., EL-Ashwah, R.M., Zayad, H.M., Subclass of meromorphic functions with positive coefficients defined by convolution, Studia. Univ. Babes-Bolai Math. (to appear).
Aouf, M.K., Joshi, S.B., On certain subclasses of meromorphically starlike functions with positive coefficients, Soochow J. Math., 24(1998), no. 2, 79-90.
Atshan, W.G., Subclass of meromorphic functions with positive coefficients defined by Ruscheweyh derivative II, Surv. Math. Appl., 3(2008), 67-77.
Atshan, W.G., Kulkarni, S.R., Subclass of meromorphic functions with positive coefficients defined by Ruscheweyh derivative I, J. Rajasthan Acad. Phys. Sci., 69(2007), no. 2, 129-140.
Bulboaca, T., Aouf, M.K. and El-Ashwah, R., Convolution properties for subclasses of meromorphic univalent functions of complex order, Filomat, 26(2012), no. 1, 153-163.
Cho, N.E., On certain class of meromorphic functions with positive coefficients, J. Inst. Math. Comput. Sci., 3(1990), no. 2, 119-125.
Cho, N.E., Lee, S.H., Owa, S., A class of meromorphic univalent functions with positive coefficients, Kobe J. Math., 4(1987), 43-50.
El-Ashwah, R.M., Properties of certain class of p-valent meromorphic functions associated with new integral operator, Acta Univ. Apulensis Math. Inform., 29(2012), 255-264.
El-Ashwah, R.M., Aouf, M.K., Bulboac_a, T., Di_erential subordinations for classes of meromorphic p-valent Functions defined by multiplier transformations, Bull. Aust. Math. Soc., 83(2011), 353-368.
Ghanim, F., Darus, M., On class of hypergeometric meromorphic functions with fixed second positive coefficients, General. Math., 17(2009), no. 4, 13-28.
Magesh, N., Gatti, N.B., Mayilvaganan, S., On certain subclasses of meromorphic functions with positive and fixed second coefficients involving the Liu- Srivastava linear operator, ISRN Math. Anal. 2012, Art. ID 698307, 1-11.
Miller, J.E., Convex meromrphic mapping and related functions, Proc. Amer. Math. Soc., 25(1970), 220-228.
Mogra, M.L., Reddy, T., Juneja, O.P., Meromrphic univalent functions with positive coefficients, Bull. Aust. Math. Soc., 32(1985), 161-176.
Murugusundaramoorthy, G., Dziok, J., Sokol, J., On certain class of meromorphic functions with positive coefficients, Acta Math. Sci., Ser. B, 32(2012), no. 4, 1-16.
Pommerenke, Ch., On meromrphic starlike functions, Pacific J. Math., 13(1963), 221-235.
Uralegaddi, B.A., Meromorphically starlike functions with positive and fixed second coefficients, Kyungpook Math. J., 29(1989), no. 1, 64-68.
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