INVERSION THEOREM ASSOCIATED WITH LINEAR CANONICAL-MELLIN TRANSFORM

: The Linear canonical-Mellin transform is a mixed type of integral transform in which function is both linear canonical and Mellin transformable. Extension of some transformations to generalized functions have been done time to time and their properties have been studied by various mathematicians. However, there is much scope in extending double transformations to a certain class of generalized functions. In this paper, Linear Canonical-Mellin transform is extended in the distributional generalized sense and inversion theorem for Linear Canonical-Mellin transform is proved which can be used to retrieve original function to be transformed