Formula:3587

Digital Library of Mathematical Functions ID 9.10.E7

${\displaystyle{\displaystyle\int_{-\infty}^{x}\mathrm{Bi}\left(t\right)\mathrm{d}t=\pi^{-1/2}(-x)^{-3/4}\*\sin\left(\tfrac{2}{3}(-x)^{3/2}+\tfrac{1}{4}\pi\right)+O\left(|x|^{-9/4}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle x\rightarrow-\infty}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle x}}$: real variable
 

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