Higher order differences on arbitrary discrete time scales and related generating functions

DOI10.1216/RMJ.2022.52.431zbMath1492.05006OpenAlexW4280524664MaRDI QIDQ2152805

Scott Gensler, Derek Boeckner

Publication date: 11 July 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-2/Higher-order-differences-on-arbitrary-discrete-time-scales-and-related/10.1216/rmj.2022.52.431.full

zbMATH Keywords

generating functionstime scalesdifference operators\(q\)-calculus\(h\)-calculushigher order finite differencesquantum time scale

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Difference operators (39A70) Dynamic equations on time scales or measure chains (34N05) Linear difference equations (39A06)

Cites Work

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• First and second order linear dynamic equations on time scales
• Multivariable Dynamic Calculus on Time Scales
• Discrete Fractional Calculus
• Quantum calculus

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