Identities between polynomials related to Stirling and harmonic numbers (Q2926281)
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scientific article; zbMATH DE number 6360726
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Identities between polynomials related to Stirling and harmonic numbers |
scientific article; zbMATH DE number 6360726 |
Statements
23 October 2014
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Stirling numbers
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Bernoulli numbers
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Genocchi numbers
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2-adic valuation
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harmonic numbers
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math.NT
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Identities between polynomials related to Stirling and harmonic numbers (English)
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The author investigates the polynomials \(\sum_{k=1}^n k!S(n,k)x^k\) and \(\sum_{k=1}^n k!S(n,k)H_kx^k\), where \(S(n,k)\) is the Stirling number of second kind and \(H_k\) is the harmonic number. He studies values, integrals and valuations related to these polynomials.
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