On an integral transform

D. Naylor

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-8

Abstract:

A formula of inversion is established for an integral transform whose kernel is the Bessel function J u ( k r ) where r varies over the finite interval ( 0 , a ) and the order u is taken to be the eigenvalue parameter. When this parameter is large the Bessel function behaves for varying r like the power function r u and by relating the Bessel functions to their corresponding power functions the proof of the inversion formula can be reduced to one depending on the Mellin inversion theorem.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:853876

DOI: 10.1155/S0161171288000778

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