The Bessel Difference Equation
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.
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
Mathematics and Statistics
Keywords and Phrases
Contiguous relation; Delay difference equations; Discrete bessel functions; Discrete oscillation; Hypergeometric series
International Standard Serial Number (ISSN)
Article - Journal
© 2017 American Mathematical Society, All rights reserved.
01 Apr 2017