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Formula:847

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Digital Library of Mathematical Functions ID 2.6.E51

ℳ ⁡ f ⁡ ( s ) = ( - 1 ) s ⁢ π / sin ⁡ ( π ⁢ α ) , Mellin-transform 𝑓 𝑠 superscript 1 𝑠 𝜋 𝜋 𝛼 {\displaystyle{\displaystyle\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(s% \right)=(-1)^{s}\pi/\sin\left(\pi\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
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}} : locally integrable function
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This page was last edited on 28 January 2024, at 10:02.
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