EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 43(57), pp. 59--63 (1988)

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A note on certain class defined by Ruscheweyh derivatives

Milutin Obradovi\'c and Shigeyoshi Owa

Tehnolosko-metalurski fakultet, Beograd, Yugoslavia and Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577, Japan

Abstract: The object of this paper is to prove new some results about the class $M(n,\alpha)$ of analytic functions $f(z)$ in the unit disk, defined by Ruscheweyh derivatives $D^nf(z)$. That is, a property of the class $M(n,\alpha)$ and the subordination theorems for Ruscheweyh derivatives $D^n f(z)$ are shown.

Classification (MSC2000): 30C45

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