On an investigation of certain class of starlike and convex functions in terms of generalized fractional integral operators (Q2748174)
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scientific article; zbMATH DE number 1658947
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an investigation of certain class of starlike and convex functions in terms of generalized fractional integral operators |
scientific article; zbMATH DE number 1658947 |
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6 June 2002
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starlike
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convex functions
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\(p\)-valent functions
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0.94470525
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0.92718136
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On an investigation of certain class of starlike and convex functions in terms of generalized fractional integral operators (English)
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The authors obtain some distortion theorems for fractional integral operators of certain classes of \(p\)-valent functions defined in the unit disk. The integral operator used in the paper is the one which involves a particular \(H\)-function. Similar distortion properties were earlier also given by \textit{R. K. Raina} [Panam. Math. J. 8, No. 1, 115-126 (1998; Zbl 0957.30012)] and \textit{R. K. Raina} and \textit{M. Bolia} [Bull. Inst. Math. Acad. Sin. 26, No. 4, 301-307 (1998; Zbl 0951.30015)]. Particular cases have also been discussed in the paper under review.
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