Linear differential elimination for analytic functions

DOI10.1007/s11786-010-0053-2zbMath1230.12005OpenAlexW1970795767MaRDI QIDQ541967

Daniel Robertz, Wilhelm Plesken

Publication date: 8 June 2011

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-010-0053-2

zbMATH Keywords

analytic functionJanet basis

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Special families of functions of several complex variables (32A17) Commutative rings of differential operators and their modules (13N10) Differential algebra (12H05) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

Transforming problems from analysis to algebra: a case study in linear boundary problems

Uses Software

• CRACK
• Janet

Cites Work

• Computer algebra algorithms and routines for the computation of conservation laws and fixing of gauge in differential expressions
• Janet's approach to presentations and resolutions for polynomials and linear PDEs
• Factoring and decomposing a class of linear functional systems
• Elimination for Coefficients of Special Characteristic Polynomials
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