Some applications of fractional calculus operators to certain subclasses of prestarlike functions with negative coefficients (Q1903764)
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scientific article; zbMATH DE number 825382
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some applications of fractional calculus operators to certain subclasses of prestarlike functions with negative coefficients |
scientific article; zbMATH DE number 825382 |
Statements
Some applications of fractional calculus operators to certain subclasses of prestarlike functions with negative coefficients (English)
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9 June 1996
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The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the subclasses \(R[\alpha, \beta]\) and \(C[\alpha, \beta]\) consisting of prestarlike and normalized analytic functions with negative coefficients. Furthermore, distortion theorems involving a generalized fractional integral operator for functions in the subclasses \(R[\alpha, \beta]\) and \(C[\alpha, \beta]\) are given.
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prestarlike functions
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distortion
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