DLMF:14.15.E18 (Q4864)

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No description defined

Language	Label	Description	Also known as
English	DLMF:14.15.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\boldsymbol{Q}^{\mu}_{\nu}\left(x\right)=\frac{1}{% \beta\Gamma\left(\nu+\mu+1\right)}\left(\frac{\alpha^{2}-y}{x^{2}-1+\alpha^{2}% }\right)^{1/4}\*K_{\mu}\left(\left(\nu+\tfrac{1}{2}\right)|y|^{1/2}\right)% \left(1+O\left(\frac{1}{\nu}\right)\right),}}

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DLMF:14.15.E18

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order not exceeding

Defining formula

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

C2.S1.E3.m2amdec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle\boldsymbol{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(% \NVar{z}\right)}}

C14.S21.SS1.p1.m3acdec

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modified Bessel function of the second kind

Defining formula

{\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S25.E3.m2acdec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1kdec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1ndec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1ndec

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Defining formula

{\displaystyle{\displaystyle\beta}}

C14.S15.XMD10.m1cdec

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Defining formula

{\displaystyle{\displaystyle y}}

C14.S15.XMD11.m1cdec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C14.S15.XMD9.m1cdec

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