Exponential, Logarithmic, Sine, and Cosine Integrals - 6.11 Relations to Other Functions
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 6.11.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expintE@{z} = \incGamma@{0}{z}}
\expintE@{z} = \incGamma@{0}{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Ei(z) = GAMMA(0, z)
|
ExpIntegralE[1, z] == Gamma[0, z]
|
Failure | Failure | Failed [7 / 7] Result: 1.393548628+1.498247032*I
Test Values: {z = 1/2*3^(1/2)+1/2*I}
Result: .8944744989+3.773814377*I
Test Values: {z = -1/2+1/2*I*3^(1/2)}
... skip entries to safe data |
Successful [Tested: 7] |
| 6.11.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expintE@{z} = e^{-z}\KummerconfhyperU@{1}{1}{z}}
\expintE@{z} = e^{-z}\KummerconfhyperU@{1}{1}{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Ei(z) = exp(- z)*KummerU(1, 1, z)
|
ExpIntegralE[1, z] == Exp[- z]*HypergeometricU[1, 1, z]
|
Failure | Failure | Failed [7 / 7] Result: 1.393548628+1.498247032*I
Test Values: {z = 1/2*3^(1/2)+1/2*I}
Result: .8944744991+3.773814377*I
Test Values: {z = -1/2+1/2*I*3^(1/2)}
... skip entries to safe data |
Successful [Tested: 7] |