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Formula:493

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Digital Library of Mathematical Functions ID 1.14.E32

ℳ ⁡ ( f ) ⁡ ( s ) = ℳ ⁡ f ⁡ ( s ) = ∫ 0 ∞ x s - 1 ⁢ f ⁢ ( x ) ⁢ d x . Mellin-transform 𝑓 𝑠 Mellin-transform 𝑓 𝑠 subscript superscript 0 superscript 𝑥 𝑠 1 𝑓 𝑥 𝑥 {\displaystyle{\displaystyle\mathscr{M}\left(f\right)\left(s\right)=\mathscr{M% }\mskip-3.0mu f\mskip 3.0mu \left(s\right)=\int^{\infty}_{0}x^{s-1}f(x)\mathrm% {d}x.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
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This page was last edited on 3 March 2024, at 01:30.
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