Discrete generating functions

DOI10.1134/s000143462311041xOpenAlexW4392750583MaRDI QIDQ6154106

V. S. Alekseev, Svetlana Stanislavovna Akhtamova, A. P. Lyapin

Publication date: 19 March 2024

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143462311041x

zbMATH Keywords

finitenessgenerating functiongenerating seriesforward difference operatorrecursiveness

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Difference operators (39A70) Generalized hypergeometric series, ({}_pF_q) (33C20) Linear difference equations (39A06)

Cites Work

• On the hierarchy of generating functions for solutions of multidimensional difference equations
• The generalized hypergeometric difference equation
• D-finite power series
• Differentiably finite power series
• Linear recurrences with constant coefficients: The multivariate case
• Sections of the generating series of a solution to a difference equation in a simplicial cone
• The Bessel difference equation
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