DLMF:8.17.E20 (Q2661): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q11362 / rank
 
Normal rank
Property / Symbols used: Q11362 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11362 / qualifier
 
xml-id: C8.S17.XMD3.m1qdec
Property / Symbols used
 
Property / Symbols used: Q11367 / rank
 
Normal rank
Property / Symbols used: Q11367 / qualifier
 
Defining formula:

x superscript 𝑥 {\displaystyle{\displaystyle x^{\prime}}}

x^{\prime}
Property / Symbols used: Q11367 / qualifier
 
xml-id: C8.S17.XMD9.m1fdec

Latest revision as of 14:04, 2 January 2020

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DLMF:8.17.E20
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    Statements

    I x ( a , b ) = I x ( a + 1 , b ) + x a ( x ) b a B ( a , b ) , IncI 𝑥 𝑎 𝑏 IncI 𝑥 𝑎 1 𝑏 superscript 𝑥 𝑎 superscript superscript 𝑥 𝑏 𝑎 Euler-Beta 𝑎 𝑏 {\displaystyle{\displaystyle I_{x}\left(a,b\right)=I_{x}\left(a+1,b\right)+% \frac{x^{a}(x^{\prime})^{b}}{a\mathrm{B}\left(a,b\right)},}}
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    DLMF:8.17.E20
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    B ( a , b ) Euler-Beta 𝑎 𝑏 {\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}
    C5.S12.E1.m2addec
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    I x ( a , b ) IncI 𝑥 𝑎 𝑏 {\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}
    C8.S17.E2.m2amdec
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    a 𝑎 {\displaystyle{\displaystyle a}}
    C8.S17.XMD1.m1qdec
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    b 𝑏 {\displaystyle{\displaystyle b}}
    C8.S17.XMD2.m1pdec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C8.S17.XMD3.m1qdec
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    x superscript 𝑥 {\displaystyle{\displaystyle x^{\prime}}}
    C8.S17.XMD9.m1fdec
    0 references