International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 4, Pages 253-263
doi:10.1155/S0161171201003507
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
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.