DLMF:13.6.E15 (Q4402): 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.m2abdec

Revision as of 14:52, 2 January 2020

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DLMF:13.6.E15
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    M ( 1 2 a + 3 4 , 3 2 , 1 2 z 2 ) = 2 1 2 a - 5 4 Γ ( 1 2 a + 1 4 ) e 1 4 z 2 z π ( U ( a , - z ) - U ( a , z ) ) . Kummer-confluent-hypergeometric-M 1 2 𝑎 3 4 3 2 1 2 superscript 𝑧 2 superscript 2 1 2 𝑎 5 4 Euler-Gamma 1 2 𝑎 1 4 superscript 𝑒 1 4 superscript 𝑧 2 𝑧 𝜋 parabolic-U 𝑎 𝑧 parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle M\left(\tfrac{1}{2}a+\tfrac{3}{4},\tfrac{3}{2},% \tfrac{1}{2}z^{2}\right)=\frac{2^{\frac{1}{2}a-\frac{5}{4}}\Gamma\left(\tfrac{% 1}{2}a+\tfrac{1}{4}\right)e^{\frac{1}{4}z^{2}}}{z\sqrt{\pi}}\*\left(U\left(a,-% z\right)-U\left(a,z\right)\right).}}
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2abdec
    0 references