DLMF:9.7.E3 (Q2810): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Wikidata Toolkit example test statement addition
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: gamma function / rank
 
Normal rank
Property / Symbols used: gamma function / qualifier
 
Defining formula:

Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

\EulerGamma@{\NVar{z}}
Property / Symbols used: gamma function / qualifier
 
xml-id: C5.S2.E1.m2adec

Revision as of 14:31, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:9.7.E3
No description defined

    Statements

    Defining formula
    χ ⁢ ( x ) ≡ π 1 / 2 ⁢ Γ ⁡ ( 1 2 ⁢ x + 1 ) / Γ ⁡ ( 1 2 ⁢ x + 1 2 ) . equal-by definition 𝜒 𝑥 1 2 Euler-Gamma 1 2 𝑥 1 Euler-Gamma 1 2 𝑥 1 2 {\displaystyle{\displaystyle\chi(x)\equiv{\pi^{\ifrac{1}{2}}}\Gamma\left(% \tfrac{1}{2}x+1\right)/\Gamma\left(\tfrac{1}{2}x+\tfrac{1}{2}\right).}}
    0 references
    DLMF id
    DLMF:9.7.E3
    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.m2adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2810&oldid=48037"