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Formula:785

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Digital Library of Mathematical Functions ID 2.5.E39

I j ⁢ ( x ) = ∫ 0 ∞ e - t ⁢ h j ⁢ ( x ⁢ t ) ⁢ d t , subscript 𝐼 𝑗 𝑥 superscript subscript 0 superscript 𝑒 𝑡 subscript ℎ 𝑗 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle I_{j}(x)=\int_{0}^{\infty}e^{-t}h_{j}(xt)\mathrm{% d}t,}}


Constraint(s)

j = 1 , 2 𝑗 1 2 {\displaystyle{\displaystyle j=1,2}}

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}} : locally integrable function
  • I j ⁢ ( x ) subscript 𝐼 𝑗 𝑥 {\displaystyle{\displaystyle I_{j}(x)}} : integral
  •  Edit this on Wikidata

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