DLMF:14.15.E14 (Q4860)

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Language	Label	Description	Also known as
English	DLMF:14.15.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\boldsymbol{Q}^{\mu}_{\nu}\left(\cosh\xi\right)=% \frac{\nu^{\mu}}{\Gamma\left(\nu+\mu+1\right)}\left(\frac{\xi}{\sinh\xi}\right% )^{1/2}\*K_{\mu}\left(\left(\nu+\tfrac{1}{2}\right)\xi\right)\*\left(1+O\left(% \frac{1}{\nu}\right)\right),}}

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DLMF:14.15.E14

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order not exceeding

Defining formula

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

C2.S1.E3.m2aidec

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Defining formula

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

C5.S2.E1.m2addec

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Defining formula

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

C14.S21.SS1.p1.m3abdec

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hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2aadec

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hyperbolic sine function

Defining formula

{\displaystyle{\displaystyle\sinh\NVar{z}}}

C4.S28.E1.m2aadec

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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.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1jdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1jdec

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Defining formula

{\displaystyle{\displaystyle\xi}}

C14.S15.XMD8.m1adec

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