Certain subclasses of univalent functions with negative coefficients (Q2751689)
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scientific article; zbMATH DE number 1665034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Certain subclasses of univalent functions with negative coefficients |
scientific article; zbMATH DE number 1665034 |
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16 February 2003
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Certain subclasses of univalent functions with negative coefficients (English)
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Recently, \textit{S. B. Joshi} and \textit{H. M. Srivastava} [Publ. Elektroteh. Fak., Univ. Beograd. Ser. Mat. 7, 76-84 (1996; Zbl 0889.30008)] introduced and investigated two subclasses of analytic and univalent functions with negative coefficients. Here, in the paper under review, the author presents several further properties of each of these two function classes. In particular, he gives five closure theorems and two distortion-type theorems involving the fractional integral operator (with the Gauss hypergeometric function kernel), which was introduced earlier by \textit{H. M. Srivastava}, \textit{M. Saigo} and \textit{S. Owa} [J. Math. Anal. Appl. 131, No. 2, 412-420 (1988; Zbl 0628.30014)].NEWLINENEWLINEFor the entire collection see [Zbl 0970.00018].
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