International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 4, Pages 253-263

New inversion formulas for the Krätzel transformation

Domingo Israel Cruz-Báez1 and José Rodríguez Expósito2

1Departamento de Economía Aplicada, Universidad de La Laguna, Tenerife, La Laguna 38071, Spain
2Departamento de Análisis Matemático, Universidad de La Laguna, Tenerife, La Laguna 38271, Spain

Received 9 June 1999

Copyright © 2001 Domingo Israel Cruz-Báez and José Rodríguez Expósito. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.