A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients (Q1206944)
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scientific article; zbMATH DE number 150675
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients |
scientific article; zbMATH DE number 150675 |
Statements
A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients (English)
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1 April 1993
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Making use of a certain operator of fractional derivatives, a new subclass \({\mathcal J}_ p(\alpha,\beta,\lambda)\) of analytic and \(p\)-valent functions with negative coefficients is introduced and studied here rather systematically. Coefficient estimates, distortion theorems, and various other interesting and useful properties of this class of functions are given; some of these properties involve, for example, linear combinations and modified Hadamard products of several functions belonging to the class introduced here.
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coefficient estimates
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fractional derivatives
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\(p\)-valent functions
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Hadamard products
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