Some operators of fractional calculus and their applications involving a novel class of analytic functions (Q1127827)
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scientific article; zbMATH DE number 1186287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some operators of fractional calculus and their applications involving a novel class of analytic functions |
scientific article; zbMATH DE number 1186287 |
Statements
Some operators of fractional calculus and their applications involving a novel class of analytic functions (English)
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23 September 1998
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Making use of certain operators of fractional calculus (that is, fractional integral and fractional derivative), the authors present generalizations of various growth-and-distortion type results in terms of a novel class of analytic functions. These general results are shown to stem naturally from some recent conjectures and theorems in geometric function theory.
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fractional calculus
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growth-and-distortion type theorems
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geometric function theory
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univalent functions
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Koebe function
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Löwner's result
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removable singularities
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Gauss hypergeometric function
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generalized hypergeometric function
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Euler's transformation
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Chu-Vandermonde summation theorem
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