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The Bessel difference equation

Martin Bohner, Tom Cuchta

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Source: Crossref

Published: Dec 30, 2016

DOI: 10.1090/proc/13416

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Source 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 2 F 1 {}_2F_1 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.

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The Bessel difference equation — Mathematical Frontier Network