Wolfram Language & System 11.0 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.View current documentation (Version 11.2)

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 OptionsDetails and Options

  • The Mellin transform of a function is defined to be .
  • The multidimensional Mellin transform of a function is given by .
  • The Mellin transform of exists only for complex values of such that . In some cases, this strip of definition may extend to a half-plane.
  • The following options can be given:
  • Assumptions$Assumptionsassumptions on parameters
    GenerateConditionsFalsewhether to generate results that involve conditions on parameters
    MethodAutomaticwhat method to use
  • In TraditionalForm, MellinTransform is output using TemplateBox[{{f, (, x, )}, x, s}, MellinTransform1].
Introduced in 2016
(11.0)