DLMF:8.10.E10 (Q2567)

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DLMF:8.10.E10
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    Statements

    Defining formula
    x 2 ⁢ a ⁢ ( ( 1 + 2 x ) a - 1 ) < x 1 - a ⁢ e x ⁢ Γ ⁡ ( a , x ) ≤ x a ⁢ c a ⁢ ( ( 1 + c a x ) a - 1 ) , 𝑥 2 𝑎 superscript 1 2 𝑥 𝑎 1 superscript 𝑥 1 𝑎 superscript 𝑒 𝑥 incomplete-Gamma 𝑎 𝑥 𝑥 𝑎 subscript 𝑐 𝑎 superscript 1 subscript 𝑐 𝑎 𝑥 𝑎 1 {\displaystyle{\displaystyle\frac{x}{2a}\left(\left(1+\frac{2}{x}\right)^{a}-1% \right)<x^{1-a}e^{x}\Gamma\left(a,x\right)\leq\frac{x}{ac_{a}}\left(\left(1+% \frac{c_{a}}{x}\right)^{a}-1\right),}}
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    DLMF id
    DLMF:8.10.E10
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