Formula:4854

Digital Library of Mathematical Functions ID 12.10.E3

${\displaystyle{\displaystyle U\left(-\tfrac{1}{2}\mu^{2},\mu t\sqrt{2}\right)\sim\frac{g(\mu)e^{-\mu^{2}\xi}}{(t^{2}-1)^{\frac{1}{4}}}\sum_{s=0}^{\infty}\frac{{\cal A}_{s}(t)}{\mu^{2s}},}}$

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
• ${\displaystyle{\displaystyle\xi}}$: 12.10.E7
• ${\displaystyle{\displaystyle\mathcal{A}_{s}(t)}}$: coefficients (locally)
• ${\displaystyle{\displaystyle g(\mu)}}$: expansion (locally)
 

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