ABSTRACT
The K transform, also known as the Meijer transform https://www.w3.org/1998/Math/MathML"> [ 124,125 ] https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138752859/46b98bf4-f43d-4c1b-bad9-d831e2ef6414/content/eq6635.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> , was first introduced in 1940 by C. S. Meijer [158] who also derived its representation theorem and inversion formula. It was further investigated by Greenwood [80], Erdélyi [58] and Boas https://www.w3.org/1998/Math/MathML"> [ 16,17 ] https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138752859/46b98bf4-f43d-4c1b-bad9-d831e2ef6414/content/eq6636.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> who obtained a sufficient condition for a function to be represented by a K transform. The K transformation is a generalization of the Laplace transformation and it has its own operational calculus which can be used to solve certain initial and boundary-value problems.
