DLMF:12.10.E35

MaRDI QIDQ4897

• Label: DLMF:12.10.E35

Digital Library of Mathematical Functions ID 12.10.E35

${\displaystyle{\displaystyle U\left(-\frac{1}{2}\mu^{2},\mu t\sqrt{2}\right)\sim 2\pi^{\frac{1}{2}}\mu^{\frac{1}{3}}g(\mu)\phi(\zeta)\*\left(\mathrm{Ai}\left(\mu^{\frac{4}{3}}\zeta\right)\sum_{s=0}^{\infty}\frac{A_{s}(\zeta)}{\mu^{4s}}+\frac{\mathrm{Ai}'\left(\mu^{\frac{4}{3}}\zeta\right)}{\mu^{\frac{8}{3}}}\sum_{s=0}^{\infty}\frac{B_{s}(\zeta)}{\mu^{4s}}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\sim}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle s}}$: nonnegative integer
• ${\displaystyle{\displaystyle\zeta}}$: change of variable
• ${\displaystyle{\displaystyle\phi(\zeta)}}$: function (locally)
• ${\displaystyle{\displaystyle A_{s}(\zeta)}}$: coefficients
• ${\displaystyle{\displaystyle B_{s}(\zeta)}}$: coefficients
• ${\displaystyle{\displaystyle g(\mu)}}$: expansion (locally)
 

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