DLMF:2.4.E19 (Q774)

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DLMF:2.4.E19
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    I ( α , z ) = e - c z 𝒬 exp ( - z ( 1 3 w 3 + a w 2 + b w ) ) f ( α , w ) d w , 𝐼 𝛼 𝑧 superscript 𝑒 𝑐 𝑧 subscript 𝒬 𝑧 1 3 superscript 𝑤 3 𝑎 superscript 𝑤 2 𝑏 𝑤 𝑓 𝛼 𝑤 𝑤 {\displaystyle{\displaystyle I(\alpha,z)=e^{-cz}\int_{\mathscr{Q}}\exp\left(-z% \left(\tfrac{1}{3}w^{3}+aw^{2}+bw\right)\right)f(\alpha,w)\mathrm{d}w,}}
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