Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 4 (2009), 77 -- 88

APPLICATIONS OF GENERALIZED RUSCHEWEYH DERIVATIVE TO UNIVALENT FUNCTIONS WITH FINITELY MANY COEFFICIENTS

Abdul Rahman S. Juma and S. R. Kulkarni

Abstract. By making use of the generalized Ruscheweyh derivative, the authors investigate several interesting properties of certain subclasses of univalent functions having the form

f(z) = z - Σn=2..m ((1 - β) en) / ((1 - nβ + α(1-n)) B1λ, μ(n)) zn - Σk=m+1..∞ akzk.

2000 Mathematics Subject Classification: 30C45
Keywords: Ruscheweyh derivative; Integral operator; Univalent function.

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Abdul Rahman S. Juma S. R. Kulkarni
Department of Mathematics Department of Mathematics
Al-Anbar University, Fergusson College,
Ramadi, Iraq. Pune 411004, India
e-mail: absa662004@yahoo.com e-mail: kulkarni_ferg@yahoo.com

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