The Bessel Difference Equation
Abstract
We define a new difference equation analogue of the Bessel differential equation and investigate the properties of its solution, which we express using a 2F1 hypergeometric function. We find analogous formulas for Bessel function recurrence relations, a summation transformation which is identical to the Laplace transform of classical Bessel functions, and oscillation.
Recommended Citation
M. Bohner and T. Cuchta, "The Bessel Difference Equation," Proceedings of the American Mathematical Society, vol. 145, no. 4, pp. 1567 - 1580, American Mathematical Society, Apr 2017.
The definitive version is available at https://doi.org/10.1090/proc/13416
Department(s)
Mathematics and Statistics
Keywords and Phrases
Contiguous relation; Delay difference equations; Discrete bessel functions; Discrete oscillation; Hypergeometric series
International Standard Serial Number (ISSN)
0002-9939; 1088-6826
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2017 American Mathematical Society, All rights reserved.
Publication Date
01 Apr 2017
