Meijer G-function - Integral Transforms Based On The G-function

Integral Transforms Based On The G-function

In general, two functions k(z,y) and h(z,y) are called a pair of transform kernels if, for any suitable function f(z) or any suitable function g(z), the following two relationships hold simultaneously:

$g(z) = \int_{0}^{\infty} k(z,y) \, f(y) \; dy, \quad f(z) = \int_{0}^{\infty} h(z,y) \, g(y) \; dy.$

The pair of kernels is said to be symmetric if k(z,y) = h(z,y).

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