Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation
type: Item
instance of: scholarly article
title: Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation
zbMATH Open document ID: 1102.41015
author: Carsten Schneider
author: J. A. C. Weideman
author: Kathy Driver
author: Helmut Prodinger
published in: The Ramanujan Journal
publication date: 2006-11-03T00:00:00Z
review text: Combinatorial identities that were needed in [\textit{J. A. C. Weidemann}, Quaest. Math. 28, No. 3, 375--390 (2005; Zbl 1085.41011)] are proved, mostly with C. Schneider's computer algebra package Sigma. The form of the Padé approximation of the logarithm of arbitrary order is stated as a conjecture.
Mathematics Subject Classification ID: 41A21
zbMATH DE Number: 5070729
zbMATH Keywords: Padé approximation
zbMATH Keywords: Combinatorial identities
zbMATH Keywords: Computer algebra
zbMATH Keywords: Creative telescoping
reviewed by: Francisco Pérez Acosta
describes a project that uses: qZeil
describes a project that uses: SIGMA
MaRDI profile type: Publication
full work available at URL: s11139-006-6503-4
OpenAlex ID: W2043417280
cites work: Q4234305
cites work: Q4726797
cites work: On solutions of linear ordinary difference equations in their coefficient field
cites work: Q5334359
cites work: Padé approximations to the logarithm. III: Alternative methods and additional results
cites work: Decision procedure for indefinite hypergeometric summation
cites work: Q4320535
cites work: Solving difference equations in finite terms
cites work: Q5529599
cites work: Summation in Finite Terms
cites work: Theory of summation in finite terms
cites work: Q4341407
cites work: Computer proofs of a new family of harmonic number identities.
cites work: A \textit{Mathematica} version of Zeilberger's algorithm for proving binomial coefficient identities
cites work: The solution of the problem of integration in finite terms
cites work: Q4667612
cites work: Degree bounds to find polynomial solutions of parameterized linear difference equations in \(\Pi\Sigma\)-fields
cites work: Q3416425
cites work: Solving parameterized linear difference equations in terms of indefinite nested sums and products
cites work: Finding telescopers with minimal depth for indefinite nested sum and product expressions
cites work: Padé Approximations to the Logarithm I: Derivation Via Differential Equations
cites work: A fast algorithm for proving terminating hypergeometric identities
DOI: 10.1007/S11139-006-6503-4
description: scientific article; zbMATH DE number 5070729