ABSTRACT

The number of integral transforms cited in the literature is overwhelming. Every conceivable special function has been or is bound to be the kernel of some integral transformation. But whether that transformation is of any utility is not certain. Fortuitously, one does not need to know all of these transforms because a great number of them are either superficial generalizations, or combinations, or iterations of other known transforms. For example, the so-called Glasser transform [74], which is defined by https://www.w3.org/1998/Math/MathML"> F ( y ) = ∫ - ∞ ∞   f ( x ) x 2 + y 2 1 2 dx , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138752859/46b98bf4-f43d-4c1b-bad9-d831e2ef6414/content/eq7475.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>