DLMF:15.10.E21 (Q5137): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11646 / rank
 
Normal rank
Property / Symbols used: Q11646 / qualifier
 
test:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q11646 / qualifier
 
xml-id: C15.S1.XMD5.m1tdec

Revision as of 14:16, 2 January 2020

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DLMF:15.10.E21
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    Statements

    w 1 ( z ) = Γ ( c ) Γ ( c - a - b ) Γ ( c - a ) Γ ( c - b ) w 3 ( z ) + Γ ( c ) Γ ( a + b - c ) Γ ( a ) Γ ( b ) w 4 ( z ) , subscript 𝑤 1 𝑧 Euler-Gamma 𝑐 Euler-Gamma 𝑐 𝑎 𝑏 Euler-Gamma 𝑐 𝑎 Euler-Gamma 𝑐 𝑏 subscript 𝑤 3 𝑧 Euler-Gamma 𝑐 Euler-Gamma 𝑎 𝑏 𝑐 Euler-Gamma 𝑎 Euler-Gamma 𝑏 subscript 𝑤 4 𝑧 {\displaystyle{\displaystyle w_{1}(z)=\frac{\Gamma\left(c\right)\Gamma\left(c-% a-b\right)}{\Gamma\left(c-a\right)\Gamma\left(c-b\right)}w_{3}(z)+\frac{\Gamma% \left(c\right)\Gamma\left(a+b-c\right)}{\Gamma\left(a\right)\Gamma\left(b% \right)}w_{4}(z),}}
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2addec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C15.S1.XMD3.m1tdec
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    a 𝑎 {\displaystyle{\displaystyle a}}
    C15.S1.XMD4.m1tdec
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    b 𝑏 {\displaystyle{\displaystyle b}}
    C15.S1.XMD5.m1tdec
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