Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 5 (2010), 49 -- 60

ON A CERTAIN SUBCLASS OF MEROMORPHIC UNIVALENT FUNCTIONS WITH FIXED SECOND POSITIVE COEFFICIENTS

Firas Ghanim and Maslina Darus

Abstract. In the present paper, we consider the subclass of meromorphic univalent functions Sp * [k,α,β,c ] with fixed second positive coefficient. The object of the present paper is to show coefficient estimates, convex liner combinations, some distortion theorems, and redii of starlikeness and convexity for f(z) in the class Sp * [k,α,β,c ].

2000 Mathematics Subject Classification: 30C45
Keywords: Meromorphic; Starlike; Convex; Fixed second positive coefficient.

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Acknowledgement. This work was fully supported by Research Grant: MOSTI, eScienceFund: 04-01-02-SF0425.

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Firas Ghanim Maslina Darus
School of Mathematical Sciences, School of Mathematical Sciences,
Faculty of Science and Technology, Faculty of Science and Technology,
Universiti Kebangsaan Malaysia, Universiti Kebangsaan Malaysia,
Bangi 43600 Selangor D. Ehsan, Malaysia. Bangi 43600 Selangor D. Ehsan, Malaysia.
e-mail: firas.zangnaa@gmail.com e-mail: maslina@ukm.my


http://www.utgjiu.ro/math/sma