##  [Mellin Transform](/mellin-transform) 

  ##  [Mellin Transform](https://mathlogic.quantumdictionary.io/mellin-transform-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An integral transform mapping a function f(r) on the positive half-line to F(s) = ∫_0^∞ r^{s-1} f(r) dr, converting dilation (scaling) behavior near r = 0 or ∞ into meromorphic dependence on the complex parameter s; extensively used to analyze singularities and boundary asymptotics, especially near conical points.