Generalization of Rangaig transform

Document Type : Research Paper


1 Department of Electrical Technologies, Southern Technical University, Technical Institute Nasiriyah, Iraq

2 Department of Material Engineering, Collage of Engineering, Al-Qadisiyah University, Iraq


In this paper, a generalized form of the known Rangaig integral transform has been proposed; the general integral form is presented as a new integral transform called the ``general Rangaig integral transform''. The General Rangaig integral transform has been studied and proven for some fundamental functions, its applicability and ability to find the exact solution have been proven via utilizing the transform in solving first- and second-order ordinary differential equations.