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On dual integral equations with Hankel kernel and an arbitrary weight function

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  • C. Nasim

Abstract

In this paper we deal with dual integral equations with an arbitrary weight function and Hankel kernels of distinct and general order. We propose an operational procedure, which depends on exploiting the properties of the Mellin transforms, and readily reduces the dual equations to a single equation. This then can be inverted by the Hankel inversion to give us an equation of Fredholm type, involving the unknown function. Most of the known results are then derived as special cases of our general result.

Suggested Citation

  • C. Nasim, 1986. "On dual integral equations with Hankel kernel and an arbitrary weight function," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:840708
    DOI: 10.1155/S0161171286000364
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