Special formal series solutions of linear operator equations

DOI10.1016/S0012-365X(99)00118-1zbMath0972.34002WikidataQ127957011 ScholiaQ127957011MaRDI QIDQ1961244

Sergey A. Abramov, Anna A. Ryabenko, Marko Petkovsek

Publication date: 13 November 2001

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

isomorphismslinear operator equationshypergeometric series solution

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Series solutions to PDEs (35C10) Linear ordinary differential equations and systems (34A30) Applications of hypergeometric functions (33C90)

Related Items (11)

Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients ⋮ Symbolic conversion of holonomic functions to hypergeometric type power series ⋮ Hypergeometric series solutions of linear operator equations ⋮ Algorithmic determination of \(q\)-power series for \(q\)-holonomic functions ⋮ The factorial-basis method for finding definite-sum solutions of linear recurrences with polynomial coefficients ⋮ Symbolic solution of nonhomogeneous linear ordinary differential equations in terms of power series ⋮ Computing Polynomial Solutions and Annihilators of Integro-Differential Operators with Polynomial Coefficients ⋮ Applications of Hermite transforms in computer algebra. ⋮ On full rank differential systems with power series coefficients ⋮ Converging to Gosper's algorithm ⋮ D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients

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