DLMF:6.9.E1 (Q2273): Difference between revisions

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Changed an Item: Add constraint
Property / constraint
 

| ph z | < π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}

|\phase@@{z}|<\pi
Property / constraint: | ph z | < π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}} / rank
 
Normal rank

Revision as of 17:07, 30 December 2019

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DLMF:6.9.E1
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    Statements

    E 1 ( z ) = e - z z + 1 1 + 1 z + 2 1 + 2 z + 3 1 + 3 z + , exponential-integral 𝑧 continued-fraction superscript 𝑒 𝑧 𝑧 continued-fraction 1 1 continued-fraction 1 𝑧 continued-fraction 2 1 continued-fraction 2 𝑧 continued-fraction 3 1 continued-fraction 3 limit-from 𝑧 {\displaystyle{\displaystyle E_{1}\left(z\right)=\cfrac{e^{-z}}{z+\cfrac{1}{1+% \cfrac{1}{z+\cfrac{2}{1+\cfrac{2}{z+\cfrac{3}{1+\cfrac{3}{z+}}}}}}}\cdots,}}
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    DLMF:6.9.E1
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    | ph z | < π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}
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