Abstract
The confluence of distributions (generalized functions) with integral transforms has become a remarkably powerful tool to address important unsolved problems. The purpose of the present study is to investigate a distributional representation of the generalized Kratzel function. Hence, a new definition of these functions is formulated over a particular set of test functions. This is validated using the classical Fourier transform. The results lead to a novel extension of Kratzel functions by introducing distributions in terms of the delta function. A new version of the generalized Kratzel integral transform emerges as a natural consequence of this research. The relationship between the Kratzel function and the H-function is also explored to study new identities.