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Formula:795

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Digital Library of Mathematical Functions ID 2.5.E49

ℒ ⁡ h ⁡ ( ζ ) = e ζ ⁢ E 1 ⁡ ( ζ ) ; Laplace-transform ℎ 𝜁 superscript 𝑒 𝜁 exponential-integral 𝜁 {\displaystyle{\displaystyle\mathscr{L}\mskip-3.0mu h\mskip 3.0mu \left(\zeta% \right)=e^{\zeta}E_{1}\left(\zeta\right);}}


Constraint(s)

Symbols List

  • ℒ ⁡ ( f ) ⁡ ( s ) Laplace-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{L}\left(\NVar{f}\right)\left(\NVar{s}% \right)}} : Laplace transform
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}} : exponential integral
  • h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}} : locally integrable function
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