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Mellin Transform: Definition, Examples, List/Table - Statistics How To
The Mellin transform maps a real-valued positive function into a function on the complex plane. It is defined as: In general, the integral only exists for complex numbers s = a + jb; a
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MellinTransform—Wolfram Language Documentation
Wolfram Language Home Page » BUILT-IN SYMBOL. MellinTransform MellinTransform. MellinTransform [ expr, x, s] gives the Mellin transform of expr. MellinTransform [ expr, { x1, x2, … }, { s1, s2, … }] gives the multidimensional Mellin transform of expr. Details and Options. Examples. Basic Examples (2) Compute the Mellin transform of a function:
Mellin Transform -- from Wolfram MathWorld
The Mellin transform is the integral transform defined by phi (z) = int_0^inftyt^ (z-1)f (t)dt (1) f (t) = 1/ (2pii)int_ (c-iinfty)^ (c+iinfty)t^ (-z)phi (z)dz. (2) It is implemented in the Wolfram Language as MellinTransform [expr, x, s].
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