DLMF:12.10.E29 (Q4193)

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Language	Label	Description	Also known as
English	DLMF:12.10.E29	No description defined

Statements

Defining formula

{\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}}},}}

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DLMF:12.10.E29

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11aldec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2agdec

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Defining formula

{\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}

C12.S2.SS1.p1.m1aedec

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Defining formula

{\displaystyle{\displaystyle s}}

C12.S1.XMD5.m1tdec

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Defining formula

{\displaystyle{\displaystyle\overline{\xi}}}

C12.S10.XMD15.m1bdec

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expansion (locally)

Defining formula

{\displaystyle{\displaystyle\overline{g}(\mu)}}

C12.S10.XMD17.m1bdec

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solution (locally)

Defining formula

{\displaystyle{\displaystyle\overline{v}_{s}(t)}}

C12.S10.XMD18.m1dec

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Defining formula

{\displaystyle{\displaystyle v_{s}(t)}}

C12.S10.XMD5.m1ddec

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Sitelinks

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