The Bessel difference equation

Authors

Martin Bohner
Tom CuchtaFollow

Document Type

Article

Publication Date

4-2017

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.

Comments

Copyright © 2016 American Mathematical Society.

Recommended Citation

Bohner, M., & Cuchta, T. (2017). The Bessel difference equation. Proceedings of the American Mathematical Society, 145(4), 1567-1580.