DLMF:2.7.E12 (Q903)

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DLMF:2.7.E12
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    test
    a s , 1 ∼ Λ 1 ( λ 1 - λ 2 ) s ⁢ ∑ j = 0 ∞ a j , 2 ⁢ ( λ 1 - λ 2 ) j ⁢ Γ ⁡ ( s + μ 2 - μ 1 - j ) , asymptotic-expansion subscript 𝑎 𝑠 1 subscript Λ 1 superscript subscript 𝜆 1 subscript 𝜆 2 𝑠 superscript subscript 𝑗 0 subscript 𝑎 𝑗 2 superscript subscript 𝜆 1 subscript 𝜆 2 𝑗 Euler-Gamma 𝑠 subscript 𝜇 2 subscript 𝜇 1 𝑗 {\displaystyle{\displaystyle a_{s,1}\sim\frac{\Lambda_{1}}{(\lambda_{1}-% \lambda_{2})^{s}}\*\sum_{j=0}^{\infty}{a_{j,2}(\lambda_{1}-\lambda_{2})^{j}% \Gamma\left(s+\mu_{2}-\mu_{1}-j\right)},}}
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    DLMF id
    DLMF:2.7.E12
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