Identities of Rothe-Abel-Schläfli-Hurwitz-type (Q1191959)
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scientific article; zbMATH DE number 63167
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Identities of Rothe-Abel-Schläfli-Hurwitz-type |
scientific article; zbMATH DE number 63167 |
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Identities of Rothe-Abel-Schläfli-Hurwitz-type (English)
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27 September 1992
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The well-known generalisation of Abel's binomial theorem by Hurwitz has \(n\) free variables. The author gives a further generalisation in \(n^ 2\) free variables with a combinatorial proof. His formula also contains as special cases the binomial theorem, the Vandermonde convolution, Rothe's identity, some \(q\)-generalisations of Cayley's formula, and a recent formula of Louck applied to the Mellin-expansion of algebraic functions.
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Abel's binomial theorem
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binomial theorem
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Vandermonde convolution
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Rothe's identity
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Cayley's formula
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