The Bessel difference equation
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Publication:2957800
DOI10.1090/proc/13416zbMath1360.33007OpenAlexW2566332500MaRDI QIDQ2957800
Publication date: 30 January 2017
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/proc/13416
hypergeometric seriesdelay difference equationscontiguous relationdiscrete Bessel functionsdiscrete oscillation
Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Classical hypergeometric functions, ({}_2F_1) (33C05) Oscillation theory for difference equations (39A21)
Related Items (13)
Bessel equation and Bessel function on $\mathbb{T}_{(q,h)}$ ⋮ Spatial maxima, unimodality, and asymptotic behaviour of solutions to discrete diffusion-type equations ⋮ Spectral structure and solution of fractional hydrogen atom difference equations ⋮ Asymptotic behavior of solutions to the semidiscrete diffusion equation ⋮ Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind ⋮ Discrete polylogarithm functions ⋮ Discrete generating 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 Bessel functions and partial difference equations ⋮ Discrete matrix hypergeometric functions
Cites Work
- Generalized \(q\)-Bessel function and its properties
- Discrete Bessel functions
- Properties of the Laplace transform on time scales with arbitrary graininess
- Integral Representation for Solutions of Bessel's Difference Equation
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