Title

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.

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

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