DLMF:13.20.E5 (Q4594): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:13.20.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle W_{\kappa,\mu}\left(x\right)=\sqrt{\frac{x}{X}}\*% \left(\frac{2\mu^{2}-\kappa x+\mu X}{(\mu-\kappa)x}\right)^{\mu}\*\left(\frac{% X+x-2\kappa}{2}\right)^{\kappa}\*e^{-\frac{1}{2}X-\kappa}\*\left(1+O\left(% \frac{1}{\mu}\right)\right),}}

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DLMF:13.20.E5

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order not exceeding

Defining formula

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

C2.S1.E3.m2acdec

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Whittaker confluent hypergeometric function

Defining formula

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

C13.S14.E3.m2aadec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1cdec

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Defining formula

{\displaystyle{\displaystyle X}}

C13.S20.XMD1.m1bdec

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