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Mellin transform

   Also found in: Wikipedia 0.01 sec.
Mellin transform [me′lēn ‚tranz‚fȯrm]
(mathematics)
The transformF(s) of a function ƒ(t) defined as the integral overtfrom 0 to ∞ of ƒ(t)ts-1.


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The argument uses an asymptotic formula for the Gamma function, a special Mellin transform and one of the Phragmen-Lindelof principles.
Our approach is analytic and we use such tools as the Mellin transform and the Tauberian theorems [42; 130].
The problem reduces to estimating generating functions of the form [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] which are accessible to the Mellin transform technology [13], upon setting y = [e.
 
 
 
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