Formula:2983

Digital Library of Mathematical Functions ID 6.10.E8

${\displaystyle{\displaystyle\mathrm{Ein}\left(z\right)=ze^{-z/2}\left({\mathsf{i}^{(1)}_{0}}\left(\tfrac{1}{2}z\right)+\sum_{n=1}^{\infty}\dfrac{2n+1}{n(n+1)}{\mathsf{i}^{(1)}_{n}}\left(\tfrac{1}{2}z\right)\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Ein}\left(\NVar{z}\right)}}$: complementary exponential integral
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}}$: modified spherical Bessel function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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