DLMF:10.30.E1 (Q3513): 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.m2adec

Revision as of 12:38, 2 January 2020

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DLMF:10.30.E1
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    Statements

    test
    I ν ⁡ ( z ) ∼ ( 1 2 ⁢ z ) ν / Γ ⁡ ( ν + 1 ) , asymptotically-equals modified-Bessel-first-kind 𝜈 𝑧 superscript 1 2 𝑧 𝜈 Euler-Gamma 𝜈 1 {\displaystyle{\displaystyle I_{\nu}\left(z\right)\sim(\tfrac{1}{2}z)^{\nu}/% \Gamma\left(\nu+1\right),}}
    0 references
    DLMF id
    DLMF:10.30.E1
    0 references
    constraint
    ν ≠ - 1 , - 2 , - 3 , … 𝜈 1 2 3 … {\displaystyle{\displaystyle\nu\neq-1,-2,-3,\dots}}
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2adec
    0 references
     
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