DLMF:12.2.E8 (Q4093): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11517 / rank
 
Normal rank
Property / Symbols used: Q11517 / qualifier
 
test:

V ( a , z ) parabolic-V 𝑎 𝑧 {\displaystyle{\displaystyle V\left(\NVar{a},\NVar{z}\right)}}

\paraV@{\NVar{a}}{\NVar{z}}
Property / Symbols used: Q11517 / qualifier
 
xml-id: C12.S2.SS1.p1.m2adec
Property / Symbols used
 
Property / Symbols used: Q11516 / rank
 
Normal rank
Property / Symbols used: Q11516 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11516 / qualifier
 
xml-id: C12.S1.XMD6.m1bdec

Latest revision as of 14:04, 2 January 2020

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DLMF:12.2.E8
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    Statements

    V ( a , 0 ) = π 2 1 2 a + 1 4 ( Γ ( 3 4 - 1 2 a ) ) 2 Γ ( 1 4 + 1 2 a ) , parabolic-V 𝑎 0 𝜋 superscript 2 1 2 𝑎 1 4 superscript Euler-Gamma 3 4 1 2 𝑎 2 Euler-Gamma 1 4 1 2 𝑎 {\displaystyle{\displaystyle V\left(a,0\right)=\frac{\pi 2^{\frac{1}{2}a+\frac% {1}{4}}}{\left(\Gamma\left(\frac{3}{4}-\frac{1}{2}a\right)\right)^{2}\Gamma% \left(\frac{1}{4}+\frac{1}{2}a\right)},}}
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2abdec
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2abdec
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    V ( a , z ) parabolic-V 𝑎 𝑧 {\displaystyle{\displaystyle V\left(\NVar{a},\NVar{z}\right)}}
    C12.S2.SS1.p1.m2adec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C12.S1.XMD6.m1bdec
    0 references