Discrete Bessel functions and partial difference equations

DOI10.1080/10236198.2017.1416107zbMath1427.39006OpenAlexW2779992352MaRDI QIDQ5243406

Antonín Slavík

Publication date: 18 November 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2017.1416107

zbMATH Keywords

fundamental solutionBessel functiondiscrete diffusion equationdiscrete wave equationBessel difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Ordinary lattice differential equations (34A33) Partial difference equations (39A14) Linear difference equations (39A06)

Related Items (10)

Spatial maxima, unimodality, and asymptotic behaviour of solutions to discrete diffusion-type equations ⋮ Asymptotic behavior of solutions to the semidiscrete diffusion equation ⋮ On a connection between the \(N\)-dimensional fractional Laplacian and 1-D operators on lattices ⋮ Time-step heat problem on the mesh: asymptotic behavior and decay rates ⋮ Discrete polylogarithm functions ⋮ Discrete time heat kernel and UV modified propagators with dimensional deconstruction ⋮ Discrete diffusion-type equation on regular graphs and its applications ⋮ Discrete complementary exponential and sine integral functions ⋮ The generalized hypergeometric difference equation ⋮ Discrete matrix hypergeometric functions

Uses Software

• DLMF

Cites Work

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• Explicit solutions to dynamic diffusion-type equations and their time integrals
• Dynamic diffusion-type equations on discrete-space domains
• Discrete-space systems of partial dynamic equations and discrete-space wave equation
• Bessel difference systems of zero order
• Discrete Bessel functions
• The Bessel difference equation
• On two-dimensional Bessel functions

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