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Formula:3401

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Digital Library of Mathematical Functions ID 8.19.E17

E p ⁑ ( z ) = e - z ⁒ ( 1 z + p 1 + 1 z + p + 1 1 + 2 z + β‹― ) , exponential-integral-En 𝑝 𝑧 superscript 𝑒 𝑧 continued-fraction 1 𝑧 continued-fraction 𝑝 1 continued-fraction 1 𝑧 continued-fraction 𝑝 1 1 continued-fraction 2 𝑧 β‹― {\displaystyle{\displaystyle E_{p}\left(z\right)=e^{-z}\left(\cfrac{1}{z+% \cfrac{p}{1+\cfrac{1}{z+\cfrac{p+1}{1+\cfrac{2}{z+\cdots}}}}}\right),}}


Constraint(s)

| ph ⁑ z | < Ο€ phase 𝑧 πœ‹ {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}

Symbols List

  • Ο€ {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • E p ⁑ ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}} : generalized exponential integral
  • ph phase {\displaystyle{\displaystyle\operatorname{ph}}} : phase
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • p 𝑝 {\displaystyle{\displaystyle p}} : parameter
  •  Edit this on Wikidata

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