DLMF:10.32.E17 (Q3537): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.32.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle K_{\mu}\left(z\right)K_{\nu}\left(z\right)=2\int_% {0}^{\infty}K_{\mu\pm\nu}\left(2z\cosh t\right)\cosh\left((\mu\mp\nu)t\right)% \mathrm{d}t,}}

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DLMF:10.32.E17

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{\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2andec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1apdec

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hyperbolic cosine function

Defining formula

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

C4.S28.E2.m2afdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3apdec

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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.m2ajdec

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