Formula:4890

Digital Library of Mathematical Functions ID 12.10.E29

${\displaystyle{\displaystyle U'\left(\tfrac{1}{2}\mu^{2},\mu t\sqrt{2}\right)\sim{-\frac{\mu}{\sqrt{2}}\overline{g}(\mu)(t^{2}+1)^{\frac{1}{4}}e^{-\mu^{2}{\overline{\xi}}}\sum_{s=0}^{\infty}\frac{\overline{v}_{s}(t)}{(t^{2}+1)^{\frac{3}{2}s}}\frac{1}{\mu^{2s}}},}}$

Symbols List

• ${\displaystyle{\displaystyle\sim}}$:
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle s}}$: nonnegative integer
• ${\displaystyle{\displaystyle\overline{\xi}}}$: 12.10.E26
• ${\displaystyle{\displaystyle\overline{g}(\mu)}}$: expansion (locally)
• ${\displaystyle{\displaystyle\overline{v}_{s}(t)}}$: solution (locally)
• ${\displaystyle{\displaystyle v_{s}(t)}}$: solution
 

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