Surveys in Mathematics and its Applications


ISSN 1842-6298 (electronic), 1843 - 7265 (print)
Volume 3 (2008), 67 -- 77

SUBCLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS DEFINED BY RUSCHEWEYH DERIVATIVE II

Waggas Galib Atshan

Abstract. New class Σλ(α, β, γ) of univalent meromorphic functions defined by Ruscheweyh derivative in the punctured unit disk U* is introduced. We study several Hadamard product properties. Some results connected to inclusion relations, neighborhoods of the elements of class Σλ(α, β, γ) and integral operators are obtained.

2000 Mathematics Subject Classification: 30C45.
Keywords: Meromorphic functions; Ruscheweyh derivative; Hadamard product; Coefficients inequalities; Integral operator; Neighborhood.

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References

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Waggas Galib Atshan
Department of Mathematics,
College of Computer Science and Mathematics,
Al-Qadisiya University,
Iraq.
e-mail: waggashnd@yahoo.com


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