Ordinary generating function for a class of Appell polynomials and Stirling symmetric polynomials (Q2124834)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ordinary generating function for a class of Appell polynomials and Stirling symmetric polynomials |
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Ordinary generating function for a class of Appell polynomials and Stirling symmetric polynomials (English)
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11 April 2022
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The purpose of this article is to give an alternate form of the generating function of a class of Appell polynomials, i.e. without \(n!\) in the denominator. The proof uses generalized harmonic numbers. Furthermore, formulas for weighted generalized hyperharmonic numbers and a link with Stirling symmetric polynomials are are given.
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generating functions
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Appell polynomials
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Euler polynomials
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Genocchi polynomials
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Stirling symmetric polynomials
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weighted generalized hyperharmonic numbers
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\(r\)-Stirling numbers
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