Identities of Rothe-Abel-Schläfli-Hurwitz-type
type: Item
instance of: scholarly article
title: Identities of Rothe-Abel-Schläfli-Hurwitz-type
zbMATH Open document ID: 0756.05006
DOI: 10.1016/0012-365X(92)90379-T
published in: Discrete Mathematics
publication date: 1992-09-27T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 63167
zbMATH Keywords: Abel's binomial theorem
zbMATH Keywords: binomial theorem
zbMATH Keywords: Vandermonde convolution
zbMATH Keywords: Rothe's identity
zbMATH Keywords: Cayley's formula
author: Volker Strehl
reviewed by: László A. Székely
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 63167