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Formula:857

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Digital Library of Mathematical Functions ID 2.6.E61

ℳ ⁡ h x ⁡ ( j + α ) = x - j - α ⁢ ℳ ⁡ h ⁡ ( j + α ) , Mellin-transform subscript ℎ 𝑥 𝑗 𝛼 superscript 𝑥 𝑗 𝛼 Mellin-transform ℎ 𝑗 𝛼 {\displaystyle{\displaystyle\mathscr{M}\mskip-3.0mu h_{x}\mskip 3.0mu \left(j+% \alpha\right)=x^{-j-\alpha}\mathscr{M}\mskip-3.0mu h\mskip 3.0mu \left(j+% \alpha\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 ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}} : locally integrable function
  • h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}} : function
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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