A new subclass of meromorphic function with positive and fixed second coefficients

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Sivasubramanian Srikandan
N. Magesh
Maslina Darus

Abstract

In this paper we introduce and study a subclass $\mathcal{M}_{P}(\alpha, \lambda, c)$ of meromorphic univalent functions. We obtain coefficient estimates, extreme points, growth and distortion bounds, radii of meromorphically starlikeness and meromorphically convexity for the class $\mathcal{M}_{P}(\alpha, \lambda, c)$ by fixing the second coefficient. Further, it is shown that the class $\mathcal{M}_{P}(\alpha, \lambda, c)$ is closed under convex linear combination.

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How to Cite
Srikandan, S., Magesh, N., & Darus, M. (2013). A new subclass of meromorphic function with positive and fixed second coefficients. Tamkang Journal of Mathematics, 44(3), 261–270. https://doi.org/10.5556/j.tkjm.44.2013.1108
Section
Papers
Author Biographies

Sivasubramanian Srikandan

Department of Mathematics, University College of Engineering, (Anna University of Technology Chennai), Melpakkam-604 001, India.

N. Magesh

P.G and Research Department ofMathematics, Government Arts College (Men), Krishnagiri - 635001, Tamilnadu, India.

Maslina Darus

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600.

References

O. Alti ntac s, H. Irmak and H. M. Srivastava, A family of meromorphically univalent functions with positive coefficients, Panamer. Math. J., 5(1995), 75--81.

M. K. Aouf, A certain subclass of meromorphically starlike functions with positive coefficients, Rend. Mat. Appl. (7) (1989), 225--235.

M. K. Aouf, On a certain class of meromorphic univalent functions with positive coefficients, Rend. Mat. Appl. (7) (1991), 209--219.

M. K. Aouf and H. E. Darwish, Certain meromorphically starlike functions with positive and fixed second coefficients, Turkish J. Math., 21 (1997), 311--316.

M. K. Aouf and S. B. Joshi, On certain subclasses of meromorphically starlike functions with positive coefficients, Soochow J. Math. 24 (1998), 79--90.

M. R. Ganigi andB. A. Uralegaddi, New criteria for meromorphic univalent functions, Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.) 33(81)(1989), 9--13.

F. Ghanim and M. Darus, On class of hypergeometric meromorphic functions with fixed second positive coefficients, Gen. Math., 17(2009), 13--28.

S. Kavitha, S. Sivasubramanian and K. Muthunagai, A new subclass of meromorphic function with positive coefficients, Bull. Math. Ana. Appl., 3 (2010), 109--121.

S. R. Kulkarni and Sou. S. S. Joshi, On a subclass of meromorphic univalent functions with positive coefficients, J. Indian Acad. Math. 24(2002), 197--205.

N. Magesh, N. B. Gatti and S. Mayilvaganan, On certain class of meromorphic functions with positive and fixed second coefficients involving Liu-Srivastava linear operator, ISRN, Mathematics Analysis, Article ID 698307, 1--11, Vol. 2012.

M. L. Mogra, T. R. Reddy and O. P. Juneja, Meromorphic univalent functions with positive coefficients, Bull. Austral. Math. Soc., 32(1985), 161--176.

B. A. Uralegaddi, Meromorphically starlike functions with positive and fixed second coefficients, Kyungpook Math. J., 29(1989), 64--68.

B. A. Uralegaddi and M. D. Ganigi, A certain class of meromorphically starlike functions with positive coefficients, Pure Appl. Math. Sci., 26(1987), 75--81.

B. A. Uralegaddi and C. Somanatha, Certain differential operators for meromorphic functions, Houston J. Math. 17 (1991), 279--284.

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