DLMF:10.46.E1 (Q3666)

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DLMF:10.46.E1
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    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)},}}
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    ρ > - 1 𝜌 1 {\displaystyle{\displaystyle\rho>-1}}
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