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ExpIntegralEi






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > ExpIntegralEi[z] > Differentiation > Fractional integro-differentiation





http://functions.wolfram.com/06.35.20.0006.01









  


  










Input Form





D[ExpIntegralEi[z], {z, \[Alpha]}] == z^(1 - \[Alpha]) HypergeometricPFQRegularized[{1, 1}, {2, 2 - \[Alpha]}, z] + FDLogConstant[z, \[Alpha]]/z^\[Alpha] + (EulerGamma - (1/2) (Log[z] + Log[1/z])) (1/(z^\[Alpha] Gamma[1 - \[Alpha]]))










Standard Form





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MathML Form







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</ci> </degree> </bvar> <apply> <ci> ExpIntegralEi </ci> <ci> z </ci> </apply> </apply> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> z </ci> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> &#945; </ci> </apply> </apply> </apply> <apply> <ci> HypergeometricPFQRegularized </ci> <list> <cn type='integer'> 1 </cn> <cn type='integer'> 1 </cn> </list> <list> <cn type='integer'> 2 </cn> <apply> <plus /> <cn type='integer'> 2 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> &#945; </ci> </apply> </apply> </list> <ci> z </ci> </apply> </apply> <apply> <times /> <apply> <apply> <power /> <apply> <ci> Subscript </ci> <ci> &#8497;&#119966; </ci> <ci> log </ci> </apply> <ci> &#945; </ci> </apply> <ci> z </ci> </apply> <apply> <power /> <ci> z </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> &#945; </ci> </apply> </apply> </apply> <apply> <times /> <apply> <times /> <apply> <power /> <ci> z </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> &#945; 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Rule Form





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





2001-10-29