Determining whether a multivariate hyperexponential function is algebraic

DOI10.1007/s11424-006-0352-5zbMath1115.68173OpenAlexW2038528028MaRDI QIDQ882520

Ziming Li, Dabin Zheng

Publication date: 24 May 2007

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-006-0352-5

zbMATH Keywords

algebraic functionshyperexponential functionsrational certificatesrational normal forms

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Cites Work

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• Rational normal forms and minimal decompositions of hypergeometric terms
• Galois theory of difference equations
• Product representations in \(\Pi\Sigma\)-fields
• Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations
• Differential rational normal forms and a reduction algorithm for hyperexponential func
• Hyperexponential solutions of finite-rank ideals in orthogonal ore rings
• Picard--Vessiot extensions for linear functional systems

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