Hypergeometric series \(\phi (a,b;z)\): Further developments
type: Item
instance of: scholarly article
title: Hypergeometric series \(\phi (a,b;z)\): Further developments
zbMATH Open document ID: 0855.33002
author: Maria Passaquindici
published in: Metron
publication date: 1995-12-11T00:00:00Z
review text: The function \({}_1 F_1 [n; m+n; z]\), where \(n\in \mathbb{N}\) and \(m\in \mathbb{N}_0\), is shown to be expressible as \(F_1 (z)- e^z F_2 (z)\), where \(F_1\) and \(F_2\) are rational functions. The proof of this result is based upon a special case of Vandermonde's theorem, which is, however, not named as such but rederived over more than five pages.
Mathematics Subject Classification ID: 33C15
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 813820
zbMATH Keywords: Kummer's function
reviewed by: Per W. Karlsson
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 813820