Exponential integral E: Continued fraction representations (formula 06.34.10.0003)

ExpIntegralE

$Mathematica Notation$

Gamma, Beta, Erf

ExpIntegralE[nu,z]

Continued fraction representations

http://functions.wolfram.com/06.34.10.0003.01

Input Form

ExpIntegralE[\[Nu], z] == 1/(E^z (\[Nu] + z - \[Nu]/(2 + \[Nu] + z - (2 (\[Nu] + 1))/ (4 + \[Nu] + z - (3 (\[Nu] + 2))/(6 + \[Nu] + z - (4 (\[Nu] + 3))/(8 + \[Nu] + z - (5 (\[Nu] + 4))/(10 + \[Nu] + z + \[Ellipsis]))))))) /; !IntervalMemberQ[Interval[{-Infinity, 0}], z]

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2001-10-29