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Formula:778

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Digital Library of Mathematical Functions ID 2.5.E32

G j ⁢ k ⁢ ( z ) = ℳ ⁡ f j ⁡ ( 1 - z ) ⁢ ℳ ⁡ h k ⁡ ( z ) . subscript 𝐺 𝑗 𝑘 𝑧 Mellin-transform subscript 𝑓 𝑗 1 𝑧 Mellin-transform subscript ℎ 𝑘 𝑧 {\displaystyle{\displaystyle G_{jk}(z)=\mathscr{M}\mskip-3.0mu f_{j}\mskip 3.0% mu \left(1-z\right)\mathscr{M}\mskip-3.0mu h_{k}\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
  • h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}} : locally integrable function
  • f j ⁢ ( t ) subscript 𝑓 𝑗 𝑡 {\displaystyle{\displaystyle f_{j}(t)}} : truncated functions
  • G j ⁢ k ⁢ ( z ) subscript 𝐺 𝑗 𝑘 𝑧 {\displaystyle{\displaystyle G_{jk}(z)}} : function
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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