DLMF:18.25.E8 (Q5923): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2aadec

Revision as of 01:41, 2 January 2020

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DLMF:18.25.E8
No description defined

    Statements

    Defining formula
    h n = n ! ⁢  2 ⁢ π ⁢ ∏ j < ℓ Γ ⁡ ( n + a j + a ℓ ) . subscript ℎ 𝑛 𝑛  2 𝜋 subscript product 𝑗 ℓ Euler-Gamma 𝑛 subscript 𝑎 𝑗 subscript 𝑎 ℓ {\displaystyle{\displaystyle h_{n}=n!\,2\pi\prod_{j<\ell}\Gamma\left(n+a_{j}+a% _{\ell}\right).}}
    0 references
    DLMF id
    DLMF:18.25.E8
    0 references
    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
     
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