Hypergeometric transforms of functions with derivative in a half plane (Q1298648)
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scientific article; zbMATH DE number 1326430
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypergeometric transforms of functions with derivative in a half plane |
scientific article; zbMATH DE number 1326430 |
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Hypergeometric transforms of functions with derivative in a half plane (English)
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22 August 1999
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The author proves inequalities for the Taylor coefficients of the Gaussian hypergeometric function and of the confluent hypergeometric function. These inequalities enable him to get certain geometric properties of the images of the unit disk under such transformations. These geometric properties are used to prove invariance properties of operators defined by convolution with hypergeometric functions.
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Gaussian hypergeometric function
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confluent hypergeometric function
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