DLMF:14.20.E18 (Q4939): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:14.20.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\widehat{\mathsf{Q}}^{-\mu}_{-\frac{1}{2}+i\tau}% \left(x\right)=\sigma(\mu,\tau)\left(\frac{\alpha^{2}+\eta}{1+\alpha^{2}-x^{2}% }\right)^{1/4}K_{\mu}\left(\tau\eta^{1/2}\right)\*\left(1+O\left(\ifrac{1}{% \tau}\right)\right),}}

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DLMF:14.20.E18

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order not exceeding

Defining formula

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

C2.S1.E3.m2acdec

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conical function

Defining formula

{\displaystyle{\displaystyle\widehat{\mathsf{Q}}^{-\NVar{\mu}}_{\NVar{-\frac{1% }{2}+i\tau}}\left(\NVar{x}\right)}}

C14.S20.E2.m2ajdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2axdec

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1udec

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Defining formula

{\displaystyle{\displaystyle\tau}}

C14.S1.XMD3.m1ydec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1mdec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C14.S20.XMD5.m1adec

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Sitelinks

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