DLMF:15.4.E21 (Q5005): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: gamma function / rank
 
Normal rank
Property / Symbols used: gamma function / qualifier
 
test:

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.m2aadec

Revision as of 12:49, 2 January 2020

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DLMF:15.4.E21
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    lim z 1 - F ( a , b ; a + b ; z ) - ln ( 1 - z ) = Γ ( a + b ) Γ ( a ) Γ ( b ) . subscript 𝑧 limit-from 1 Gauss-hypergeometric-F 𝑎 𝑏 𝑎 𝑏 𝑧 1 𝑧 Euler-Gamma 𝑎 𝑏 Euler-Gamma 𝑎 Euler-Gamma 𝑏 {\displaystyle{\displaystyle\lim_{z\to 1-}\frac{F\left(a,b;a+b;z\right)}{-\ln% \left(1-z\right)}=\frac{\Gamma\left(a+b\right)}{\Gamma\left(a\right)\Gamma% \left(b\right)}.}}
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2aadec
    0 references