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On an integral transform

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  • D. Naylor

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.

Suggested Citation

  • D. Naylor, 1988. "On an integral transform," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:853876
    DOI: 10.1155/S0161171288000778
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