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New inversion formulas for the Krätzel transformation

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  • Domingo Israel Cruz-Báez
  • José Rodríguez Expósito

Abstract

We study in distributional sense by means of the kernel method an integral transform introduced by Krätzel. It is well known that the cited transform generalizes to the Laplace and Meijer transformation. Properties of analyticity, boundedness, and inversion theorems are established for the generalized transformation.

Suggested Citation

  • Domingo Israel Cruz-Báez & José Rodríguez Expósito, 2001. "New inversion formulas for the Krätzel transformation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 25, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:534809
    DOI: 10.1155/S0161171201003507
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