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

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Published: Sep 4, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1108
Keywords:
Meromorphic functions meromorphic

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Sivasubramanian Srikandan
N. Magesh
Maslina Darus

Abstract

In this paper we introduce and study a subclass MP(α,λ,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 MP(α,λ,c) by fixing the second coefficient. Further, it is shown that the class MP(α,λ,c) is closed under convex linear combination.

Article Details

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
Issue
Vol. 44 No. 3 (2013)
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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