Formula:3689

Digital Library of Mathematical Functions ID 9.13.E27

${\displaystyle{\displaystyle B_{k}\left(z,p\right)=\int_{\mathscr{I}_{k}}t^{-p}\exp\left(zt-\tfrac{1}{3}t^{3}\right)\mathrm{d}t,}}$

Constraint(s)

${\displaystyle{\displaystyle p=0,\pm 1,\pm 2,\ldots}}$

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{k}}\left(\NVar{z},\NVar{p}\right)}}$:
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle k}}$: index (locally)
• ${\displaystyle{\displaystyle p}}$: parameter (locally)
• ${\displaystyle{\displaystyle\mathscr{I}}}$: integration path
 

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