D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients

DOI10.1016/j.jsc.2008.04.004zbMath1163.34056OpenAlexW2049368302MaRDI QIDQ2518608

Moulay A. Barkatou, Sergey A. Abramov

Publication date: 16 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2008.04.004

zbMATH Keywords

linear differential equationshypergeometric serieslinear recurrence equationsclosed form solutionsd'Alembertian series

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Cites Work

• Weyl closure of a linear differential operator
• Special formal series solutions of linear operator equations
• Apparent singularities of linear difference equations with polynomial coefficients

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