A subclass of analytic functions defined by using certain operators of fractional calculus (Q1903760)
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scientific article; zbMATH DE number 825378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A subclass of analytic functions defined by using certain operators of fractional calculus |
scientific article; zbMATH DE number 825378 |
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A subclass of analytic functions defined by using certain operators of fractional calculus (English)
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9 June 1996
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Making use of certain operators of fractional calculus, the authors introduce a new class \(F_\delta(n, \lambda, \alpha)\) of functions which are analytic in the open unit disk \(U\) and obtain a necessary and sufficient condition for a function to be in the class \(F_\delta(n, \lambda, \alpha)\). They also determine the radii of close-to-convexity, starlikeness, and convexity. Finally, an application involving fractional calculus \(F_\delta(n, \lambda, \alpha)\) is considered.
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close-to-convexity
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starlikeness
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convexity
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0.9716892
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0.96805805
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0.9548373
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0.93594885
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