Formula:3688

Digital Library of Mathematical Functions ID 9.13.E26

${\displaystyle{\displaystyle B_{0}\left(z,p\right)=\frac{1}{2\pi i}\int_{\mathscr{L}_{0}}t^{-p}\exp\left(zt-\tfrac{1}{3}t^{3}\right)\mathrm{d}t,}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{k}}\left(\NVar{z},\NVar{p}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle p}}$: parameter (locally)
• ${\displaystyle{\displaystyle\mathscr{L}}}$: integration path
 

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