DLMF:18.25.E15 (Q5930): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: DLMF:18.2.E5 / rank
 
Normal rank
Property / Symbols used: DLMF:18.2.E5 / qualifier
 
Defining formula:

h n subscript 𝑛 {\displaystyle{\displaystyle h_{n}}}

h_{n}
Property / Symbols used: DLMF:18.2.E5 / qualifier
 
xml-id: C18.S2.XMD4.m1edec

Latest revision as of 01:42, 2 January 2020

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DLMF:18.25.E15
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    Statements

    h n = n ! ( N - n ) ! ( γ + δ + 2 ) N N ! ( γ + 1 ) n ( δ + 1 ) N - n . subscript 𝑛 𝑛 𝑁 𝑛 Pochhammer 𝛾 𝛿 2 𝑁 𝑁 Pochhammer 𝛾 1 𝑛 Pochhammer 𝛿 1 𝑁 𝑛 {\displaystyle{\displaystyle h_{n}=\frac{n!\,(N-n)!\,{\left(\gamma+\delta+2% \right)_{N}}}{N!\,{\left(\gamma+1\right)_{n}}{\left(\delta+1\right)_{N-n}}}.}}
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    DLMF:18.25.E15
    0 references
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    C5.S2.SS3.m1acdec
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    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5aedec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S1.XMD6.m1jdec
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    N 𝑁 {\displaystyle{\displaystyle N}}
    C18.S1.XMD7.m1gdec
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    δ 𝛿 {\displaystyle{\displaystyle\delta}}
    C18.S1.XMD8.m1hdec
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    h n subscript 𝑛 {\displaystyle{\displaystyle h_{n}}}
    C18.S2.XMD4.m1edec
    0 references