On closed-form integration of some Fuchsian differential equations related to a conformal mapping of circular pentagons with a cut (Q610309)
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scientific article; zbMATH DE number 5824096
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On closed-form integration of some Fuchsian differential equations related to a conformal mapping of circular pentagons with a cut |
scientific article; zbMATH DE number 5824096 |
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On closed-form integration of some Fuchsian differential equations related to a conformal mapping of circular pentagons with a cut (English)
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8 December 2010
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Let \(D\) be a sector of a disk \(U\) with a radial cut beginning at the center of \(U\). The author explicitly constructs a conformal mapping of the pentagon \(D\) onto the upper half--plane in terms of particular solutions of Fuchs type differential equations.
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conformal mapping
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Fuchsian differential equation
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circular pentagon
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