DLMF:14.20.E8 (Q4929)

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Language	Label	Description	Also known as
English	DLMF:14.20.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\widehat{\mathsf{Q}}^{-\mu}_{-\frac{1}{2}+i\tau}% \left(x\right)\sim\frac{\pi\Gamma\left(\mu\right)(e^{-\tau\pi}{\cos^{2}}\left(% \mu\pi\right)+\sinh\left(\tau\pi\right))}{2({\cosh^{2}}\left(\tau\pi\right)-{% \sin^{2}}\left(\mu\pi\right)){\left|\Gamma\left(\mu+\frac{1}{2}+\mathrm{i}\tau% \right)\right|^{2}}}\*\left(\frac{2}{1-x}\right)^{\mu/2}.}}

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DLMF:14.20.E8

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Defining formula

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

C5.S2.E1.m2addec

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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.m2ahdec

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asymptotic equality

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.E1.m2aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2addec

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hyperbolic cosine function

Defining formula

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

C4.S28.E2.m2abdec

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hyperbolic sine function

Defining formula

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

C4.S28.E1.m2acdec

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Defining formula

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

C1.S9.E1.m2andec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1odec

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Defining formula

{\displaystyle{\displaystyle\tau}}

C14.S1.XMD3.m1odec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1gdec

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Sitelinks

Wikipedia(0 entries)

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