A Remark on Meromorphically Multivalent Functions withMissing Coefficients

Year 2013, Volume: 42 Issue: 2, 125 - 129, 01.02.2013

Jin-lin Liu

Abstract

The purpose of the present paper is to derive certain properties ofmeromorphically multivalent functions with missing coefficients.

Keywords

Analytic function; meromorphically multivalent function , subordination , missing coefficient.

A Remark on Meromorphically Multivalent Functions withMissing Coefficients

Abstract

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Keywords

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References

• Ali R. M.and Ravichandran, V. Differential subordination for meromorphic functions defined by a linear operator, J. Anal. Appl. 2, 149–158, 2004.
• Ali, R. M., Ravichandran V., Seenivasagan, N. Subordination and superordination of the Liu-Srivastava linear operator on meromorphic functions, Bull. Malays. Math. Sci. Soc. 31 (2), 193–207, 2008.
• Ali, R. M. Ravichandran V., Seenivasagan, N. On subordination and superordination of the multiplier transformation for meromorphic functions, Bull. Malays. Math. Sci. Soc. 33 (2), 311–324, 2010.
• Cho, N. E. Kwon O. S., Srivastava, H. M. Inclusion relationships for certain subclasses of meromorphic functions associated with a family of multiplier transformations, Integral Transforms Spec. Funct. 16, 647–659, 2005.
• Cho, N. E. Kwon O. S., Srivastava, H. M. Inclusion and argument properties for certain subclasses of meromorphic functions associated with a family of multiplier transformations, J. Math. Anal. Appl. 300, 505–520, 2004.
• Cho N. E., Noor, K. I. Inclusion properties for certain classes of meromorphic functions associated with the Choi-Saigo-Srivastava operator, J. Math. Anal. Appl. 320, 779–786, 200 Liu J.-L., Srivastava, H. M. Some convolution conditions for starlikeness and convexity of meromorphically multivalent functions, Appl. Math. Lett. 16, 13–16, 2003. MacGregor, T. H. The radius of univalence of certain analytic functions. II, Proc. Amer. Math. Soc. 14, 521–524, 1963.
• Ravichandran, V. Kumar S. S., Subramanian, K. G. Convolution conditions for spirallikeness and convex spirallikeness of certain meromorphic p-valent functions, JIPAM. J. Inequal. Pure Appl. Math. 5 (1), Article 11, 7 pp. (electronic), 2004.
• Ravichandran, V., Kumar S. S., Darus, M. On a subordination theorem for a class of meromorphic functions, JIPAM. J. Inequal. Pure Appl. Math. 5 (1), Article 8, 4 pp. (electronic), 200 Supramaniam, S., Ali, R. M., Lee, S. K., Ravichandran, V. Convolution and differential subordination for multivalent functions, Bull. Malays. Math. Sci. Soc. 32 (2), 351–360, 200 Yang D.-G. and Liu, J.-L. On a class of analytic functions with missing coefficients, Appl. Math. Comput. 215, 3473–3481, 2010.
• Yuan, S.-M., Liu Z.-M., Srivastava, H. M. Some inclusion relationship and integral preserving properties of certain subclasses of meromorphic functions associated with a family of integral operators, J. Math. Anal. Appl. 337, 505–515, 2008.