DLMF:10.39.E5 (Q3573): Difference between revisions

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imported>Admin
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.m2adec

Revision as of 13:50, 2 January 2020

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DLMF:10.39.E5
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    I ν ( z ) = ( 1 2 z ) ν e ± z Γ ( ν + 1 ) M ( ν + 1 2 , 2 ν + 1 , 2 z ) , modified-Bessel-first-kind 𝜈 𝑧 superscript 1 2 𝑧 𝜈 superscript 𝑒 plus-or-minus 𝑧 Euler-Gamma 𝜈 1 Kummer-confluent-hypergeometric-M 𝜈 1 2 2 𝜈 1 minus-or-plus 2 𝑧 {\displaystyle{\displaystyle I_{\nu}\left(z\right)=\frac{(\tfrac{1}{2}z)^{\nu}% e^{\pm z}}{\Gamma\left(\nu+1\right)}M\left(\nu+\tfrac{1}{2},2\nu+1,\mp 2z% \right),}}
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2adec
    0 references