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Formula:750

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Digital Library of Mathematical Functions ID 2.5.E4

ℳ ⁡ I ⁡ ( z ) = ℳ ⁡ f ⁡ ( 1 - z ) ⁢ ℳ ⁡ h ⁡ ( z ) . Mellin-transform 𝐼 𝑧 Mellin-transform 𝑓 1 𝑧 Mellin-transform ℎ 𝑧 {\displaystyle{\displaystyle\mathscr{M}\mskip-3.0mu I\mskip 3.0mu \left(z% \right)=\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(1-z\right)\mathscr{M}% \mskip-3.0mu h\mskip 3.0mu \left(z\right).}}


Constraint(s)

Symbols List

  • ℳ ⁡ ( f ) ⁡ ( s ) Mellin-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}} : Mellin transform
  • f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}} : locally integrable function
  • I ⁢ ( x ) 𝐼 𝑥 {\displaystyle{\displaystyle I(x)}} : convolution integral
  • h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}} : function
  •  Edit this on Wikidata

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