On a formula of Ramanujan (Q881018)
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scientific article; zbMATH DE number 5155468
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a formula of Ramanujan |
scientific article; zbMATH DE number 5155468 |
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On a formula of Ramanujan (English)
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21 May 2007
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The author gives a short proof of a formula by Ramanujan, relating a certain infinite series and a certain continued fraction. The proof is based on a realization of the error function by Kummer's hypergeometric function on the one hand and as a continued fraction expansion on the other.
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Ramanujan's formula
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infinite continued fraction
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infinite series
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error function
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Kummer function
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Laplace formula
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