DLMF:5.18.E11 (Q2198): Difference between revisions

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imported>Admin
 
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Property / Symbols defined
 
Property / Symbols defined: $$q$$ -beta function / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: $$q$$ -gamma function / rank
 
Normal rank
Property / Symbols used: $$q$$ -gamma function / qualifier
 
test:

Γ q ( z ) q-Gamma 𝑞 𝑧 {\displaystyle{\displaystyle\Gamma_{\NVar{q}}\left(\NVar{z}\right)}}

\qGamma{\NVar{q}}@{\NVar{z}}
Property / Symbols used: $$q$$ -gamma function / qualifier
 
xml-id: C5.S18.E4.m2agdec
Property / Symbols used
 
Property / Symbols used: Q11280 / rank
 
Normal rank
Property / Symbols used: Q11280 / qualifier
 
test:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q11280 / qualifier
 
xml-id: C5.S1.XMD10.m1jdec
Property / Symbols used
 
Property / Symbols used: Q11275 / rank
 
Normal rank
Property / Symbols used: Q11275 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11275 / qualifier
 
xml-id: C5.S1.XMD8.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11283 / rank
 
Normal rank
Property / Symbols used: Q11283 / qualifier
 
test:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q11283 / qualifier
 
xml-id: C5.S1.XMD9.m1dec

Latest revision as of 00:11, 2 January 2020

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DLMF:5.18.E11
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    Statements

    B q ( a , b ) = Γ q ( a ) Γ q ( b ) Γ q ( a + b ) . q-Beta 𝑞 𝑎 𝑏 q-Gamma 𝑞 𝑎 q-Gamma 𝑞 𝑏 q-Gamma 𝑞 𝑎 𝑏 {\displaystyle{\displaystyle\mathrm{B}_{q}\left(a,b\right)=\frac{\Gamma_{q}% \left(a\right)\Gamma_{q}\left(b\right)}{\Gamma_{q}\left(a+b\right)}.}}
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    Γ q ( z ) q-Gamma 𝑞 𝑧 {\displaystyle{\displaystyle\Gamma_{\NVar{q}}\left(\NVar{z}\right)}}
    C5.S18.E4.m2agdec
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    q 𝑞 {\displaystyle{\displaystyle q}}
    C5.S1.XMD10.m1jdec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C5.S1.XMD8.m1bdec
    0 references
    b 𝑏 {\displaystyle{\displaystyle b}}
    C5.S1.XMD9.m1dec
    0 references