DLMF:15.10.E34 (Q5150): 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.m2aqdec

Revision as of 13:20, 2 January 2020

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DLMF:15.10.E34
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    w 1 ( z ) = e ( c - b ) π i Γ ( c ) Γ ( 1 - a ) Γ ( b ) Γ ( c - a - b + 1 ) w 4 ( z ) + e - b π i Γ ( c ) Γ ( 1 - a ) Γ ( b - a + 1 ) Γ ( c - b ) w 6 ( z ) , subscript 𝑤 1 𝑧 superscript 𝑒 𝑐 𝑏 𝜋 imaginary-unit Euler-Gamma 𝑐 Euler-Gamma 1 𝑎 Euler-Gamma 𝑏 Euler-Gamma 𝑐 𝑎 𝑏 1 subscript 𝑤 4 𝑧 superscript 𝑒 𝑏 𝜋 imaginary-unit Euler-Gamma 𝑐 Euler-Gamma 1 𝑎 Euler-Gamma 𝑏 𝑎 1 Euler-Gamma 𝑐 𝑏 subscript 𝑤 6 𝑧 {\displaystyle{\displaystyle w_{1}(z)=e^{(c-b)\pi\mathrm{i}}\frac{\Gamma\left(% c\right)\Gamma\left(1-a\right)}{\Gamma\left(b\right)\Gamma\left(c-a-b+1\right)% }w_{4}(z)+e^{-b\pi\mathrm{i}}\frac{\Gamma\left(c\right)\Gamma\left(1-a\right)}% {\Gamma\left(b-a+1\right)\Gamma\left(c-b\right)}w_{6}(z),}}
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2aqdec
    0 references