DLMF:8.19.E26 (Q2712): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: generalized exponential integral / rank
 
Normal rank
Property / Symbols used: generalized exponential integral / qualifier
 
test:

E p ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}

\genexpintE{\NVar{p}}@{\NVar{z}}
Property / Symbols used: generalized exponential integral / qualifier
 
xml-id: C8.S19.E1.m2aaddec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3agdec
Property / Symbols used
 
Property / Symbols used: Q11377 / rank
 
Normal rank
Property / Symbols used: Q11377 / qualifier
 
test:

p 𝑝 {\displaystyle{\displaystyle p}}

p
Property / Symbols used: Q11377 / qualifier
 
xml-id: C8.S1.XMD4.m1qdec
Property / Symbols used
 
Property / Symbols used: Q11379 / rank
 
Normal rank
Property / Symbols used: Q11379 / qualifier
 
test:

L ( p ) 𝐿 𝑝 {\displaystyle{\displaystyle L(p)}}

L(p)
Property / Symbols used: Q11379 / qualifier
 
xml-id: C8.S19.XMD2.m1dec

Latest revision as of 13:13, 2 January 2020

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DLMF:8.19.E26
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    Statements

    0 E p ( t ) E q ( t ) d t = L ( p ) + L ( q ) p + q - 1 , superscript subscript 0 exponential-integral-En 𝑝 𝑡 exponential-integral-En 𝑞 𝑡 𝑡 𝐿 𝑝 𝐿 𝑞 𝑝 𝑞 1 {\displaystyle{\displaystyle\int_{0}^{\infty}E_{p}\left(t\right)E_{q}\left(t% \right)\mathrm{d}t=\frac{L(p)+L(q)}{p+q-1},}}
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    p + q > 1 𝑝 𝑞 1 {\displaystyle{\displaystyle p+q>1}}
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1agdec
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    E p ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}
    C8.S19.E1.m2aaddec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3agdec
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    p 𝑝 {\displaystyle{\displaystyle p}}
    C8.S1.XMD4.m1qdec
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    L ( p ) 𝐿 𝑝 {\displaystyle{\displaystyle L(p)}}
    C8.S19.XMD2.m1dec
    0 references