DLMF:14.5.E17 (Q4729): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:14.5.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\boldsymbol{Q}^{\pm 1/2}_{\nu}\left(\cosh\xi\right% )=\left(\frac{\pi}{2\sinh\xi}\right)^{1/2}\frac{\exp\left(-\left(\nu+\frac{1}{% 2}\right)\xi\right)}{\Gamma\left(\nu+\frac{3}{2}\right)}.}}

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DLMF:14.5.E17

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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.m3adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ajdec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2adec

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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.m2abdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1jdec

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Defining formula

{\displaystyle{\displaystyle\xi>0}}

C14.S5.XMD1.m1bdec

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