Exponential integral E: Continued fraction representations (formula 06.34.10.0005)

ExpIntegralE

$Mathematica Notation$

Gamma, Beta, Erf

ExpIntegralE[nu,z]

Continued fraction representations

http://functions.wolfram.com/06.34.10.0005.01

Input Form

ExpIntegralE[\[Nu], z] == z^(\[Nu] - 1) Gamma[1 - \[Nu]] - 1/(E^z (1 - \[Nu] - ((1 - \[Nu]) z)/(2 - \[Nu] + z/(3 - \[Nu] - ((2 - \[Nu]) z)/(4 - \[Nu] + (2 z)/(5 - \[Nu] - ((3 - \[Nu]) z)/(6 - \[Nu] + \[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