DLMF:13.20.E11 (Q4600): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:13.20.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle W_{\kappa,\mu}\left(x\right)=\left(\tfrac{1}{2}% \mu\right)^{-\frac{1}{4}}\*\left(\frac{\kappa+\mu}{e}\right)^{\frac{1}{2}(% \kappa+\mu)}\*\Phi(\kappa,\mu,x)\*U\left(\mu-\kappa,\zeta\sqrt{2\mu}\right)% \left(1+O\left(\mu^{-1}\ln\mu\right)\right),}}

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DLMF:13.20.E11

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2addec

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Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

C13.S14.E3.m2abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2abdec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2abdec

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Defining formula

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

C12.S2.SS1.p1.m1adec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1hdec

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function (locally)

Defining formula

{\displaystyle{\displaystyle\Phi(\kappa,\mu,x)}}

C13.S20.XMD4.m1adec

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Sitelinks

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