An application of the Ruscheweyh derivatives

Shigeyoshi Owa, Seiichi Fukui, Koichi Sakaguchi and Shotaro Ogawa

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-10

Abstract:

Let D α f ( z ) be the Ruscheweyh derivative defined by using the Hadamard product of f ( z ) and z / ( 1 − z ) 1 + α . Certain new classes S α * and K α are introduced by virtue of the Ruscheweyh derivative. The object of the present paper is to establish several interesting properties of S α * and K α . Further, some results for integral operator J c ( f ) of f ( z ) are shown.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:586296

DOI: 10.1155/S0161171286000868

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