Abstract
We continue to investigate index transforms which are associated with general Kontorovich–Lebedev kernels (GKL kernels). The case of the so-called extended Watson kernels is considered. An inversion theorem is proved. Examples of integral transformations by the index of Whittaker's functions and Meijer's G-functions are demonstrated. As applications, a general index integral involving a product of Meijer's G-functions is calculated.
2000 Mathematics Subject Classification :
Acknowledgement
The present investigation was supported, in part, by the ‘Centro de Matemática’ of the University of Porto.