Minimization of differential equations and algebraic values of 𝐸-functions

DOI10.1090/mcom/3912arXiv2209.01827OpenAlexW4387343330MaRDI QIDQ6203471

Alin Bostan, Tanguy Rivoal, Bruno Salvy

Publication date: 28 February 2024

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.01827

zbMATH Keywords

minimizationlinear differential operatorsfactorizationdesingularization\(E\)-functionsSiegel-Shidlovskii theoremAdamczewski-Rivoal algorithmBeukers' algorithm

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Transcendence (general theory) (11J81) Rings of differential operators (associative algebraic aspects) (16S32) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

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