A q-analog of the Lagrange expansion
type: Item
instance of: scholarly article
title: A q-analog of the Lagrange expansion
zbMATH Open document ID: 0549.05004
DOI: 10.1007/BF01194051
author: Josef Hofbauer
published in: Archiv der Mathematik
publication date: 1984-01-01T00:00:00Z
review text: Es wird ein q-Analogon des klassischen Inversionssatzes von Lagrange gegeben, das Spezialfälle von \textit{L. Carlitz} [Glas. Mat., III. Ser. 8(28), 205-214 (1973; Zbl 0267.33010] und \textit{F. H. Jackson} [Rend. Palermo 29, 340-346 (1910)] verallgemeinert. Die entscheidende Idee besteht darin, das richtige q-Analogon der Potenzen \(\phi (z)^ n\) zu finden.
reviewed by: J. Cigler
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 33-XX
zbMATH DE Number: 3875288
zbMATH Keywords: umbral calculus
zbMATH Keywords: Lagrange formula
zbMATH Keywords: q-analog
MaRDI profile type: Publication
cites work: Identities in Combinatorics. II: A q-Analog of the Lagrange Inversion Theorem
cites work: Q5685401
cites work: Operatormethoden für q-identitäten
cites work: Operatormethoden für q-Identitäten. III: Umbrale Inversion und die Lagrangesche Formel
cites work: Q3937409
cites work: A New Expression for Umbral Operators and Power Series Inversion
cites work: Composition sequences
cites work: A Noncommutative Generalization and q-Analog of the Lagrange Inversion Formula
cites work: Applications of q-Lagrange Inversion to Basic Hypergeometric Series
cites work: A short proof of the Lagrange-Good formula
cites work: Lagrange inversion in higher dimensions and umbral operators
cites work: A New q-Lagrange Formula and some Applications
cites work: The umbral calculus
cites work: On the foundations of combinatorial theory. VIII: Finite operator calculus
full work available at URL: https://doi.org/10.1007/bf01194051
OpenAlex ID: W1972116213
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description: scientific article; zbMATH DE number 3875288