An integral recurrence for sums of powers (Q750482)
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scientific article; zbMATH DE number 4175015
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An integral recurrence for sums of powers |
scientific article; zbMATH DE number 4175015 |
Statements
An integral recurrence for sums of powers (English)
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1990
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Let \(S_{\alpha}\) be the sum of all \(j^{\alpha}\) with \(1\leq j\leq n\). The authors point out that \(S_{\alpha +1}\) can be obtained from \(S_{\alpha}\) by a simple integration, even for non-integral exponents \(\alpha\).
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sum of powers of integers
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non-integral exponents
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integration
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