DLMF:6.10.E1 (Q2274): Difference between revisions

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z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}

\realpart@@{z}>0
Property / constraint: z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}} / rank
 
Normal rank

Revision as of 17:07, 30 December 2019

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DLMF:6.10.E1
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    E 1 ( z ) = e - z ( c 0 z + c 1 z ( z + 1 ) + 2 ! c 2 z ( z + 1 ) ( z + 2 ) + 3 ! c 3 z ( z + 1 ) ( z + 2 ) ( z + 3 ) + ) , exponential-integral 𝑧 superscript 𝑒 𝑧 subscript 𝑐 0 𝑧 subscript 𝑐 1 𝑧 𝑧 1 2 subscript 𝑐 2 𝑧 𝑧 1 𝑧 2 3 subscript 𝑐 3 𝑧 𝑧 1 𝑧 2 𝑧 3 {\displaystyle{\displaystyle E_{1}\left(z\right)=e^{-z}\left(\frac{c_{0}}{z}+% \frac{c_{1}}{z(z+1)}+\frac{2!c_{2}}{z(z+1)(z+2)}+\frac{3!c_{3}}{z(z+1)(z+2)(z+% 3)}+\cdots\right),}}
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    DLMF:6.10.E1
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    z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}
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