DLMF:10.46.E1 (Q3666): 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 13:07, 2 January 2020

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DLMF:10.46.E1
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    Statements

    test
    ϕ ⁡ ( ρ , β ; z ) = ∑ k = 0 ∞ z k k ! ⁢ Γ ⁡ ( ρ ⁢ k + β ) , generalized-Bessel-function 𝜌 𝛽 𝑧 superscript subscript 𝑘 0 superscript 𝑧 𝑘 𝑘 Euler-Gamma 𝜌 𝑘 𝛽 {\displaystyle{\displaystyle\phi\left(\rho,\beta;z\right)=\sum_{k=0}^{\infty}% \frac{z^{k}}{k!\Gamma\left(\rho k+\beta\right)},}}
    0 references
    DLMF id
    DLMF:10.46.E1
    0 references
    constraint
    ρ > - 1 𝜌 1 {\displaystyle{\displaystyle\rho>-1}}
    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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