MellinConvolve

MellinConvolve[f,g,x,y]

gives the Mellin convolution with respect to x of the expressions f and g.

MellinConvolve[f,g,{x1,x2,},{y1,y2,}]

gives the multidimensional Mellin convolution.

Details and Options

  • The Mellin convolution of two functions and is given by .
  • The multidimensional Mellin convolution of two functions and is given by .
  • The following options can be given:
  • Assumptions$Assumptionsassumptions to make about parameters
    GenerateConditionsFalsewhether to generate conditions on parameters
    MethodAutomaticmethod to use

Examples

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Basic Examples  (2)

Convolve two functions:

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Perform a multivariate convolution:

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Scope  (8)

Options  (2)

Applications  (2)

Properties & Relations  (8)

See Also

Integrate  MellinTransform  Convolve  DirichletConvolve

Introduced in 2016
(11.0)