DLMF:2.6.E62 (Q888)

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DLMF:2.6.E62
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    Statements

    test
    I ⁢ ( x ) = ∑ j = 0 n - 1 a j ⁢ ℳ ⁡ h ⁡ ( j + α ) ⁢ x - j - α + ∑ k = 0 n - 1 b k ⁢ ℳ ⁡ f ⁡ ( 1 - k - β ) ⁢ x - k - β + δ n ⁢ ( x ) 𝐼 𝑥 superscript subscript 𝑗 0 𝑛 1 subscript 𝑎 𝑗 Mellin-transform ℎ 𝑗 𝛼 superscript 𝑥 𝑗 𝛼 superscript subscript 𝑘 0 𝑛 1 subscript 𝑏 𝑘 Mellin-transform 𝑓 1 𝑘 𝛽 superscript 𝑥 𝑘 𝛽 subscript 𝛿 𝑛 𝑥 {\displaystyle{\displaystyle I(x)=\sum_{j=0}^{n-1}a_{j}\mathscr{M}\mskip-3.0mu% h\mskip 3.0mu \left(j+\alpha\right)x^{-j-\alpha}+\sum_{k=0}^{n-1}b_{k}% \mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(1-k-\beta\right)x^{-k-\beta}+% \delta_{n}(x)}}
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    DLMF id
    DLMF:2.6.E62
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