DLMF:10.32.E7 (Q3527): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.32.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle K_{\nu}\left(x\right)=\sec\left(\tfrac{1}{2}\nu% \pi\right)\int_{0}^{\infty}\cos\left(x\sinh t\right)\cosh\left(\nu t\right)% \mathrm{d}t=\csc\left(\tfrac{1}{2}\nu\pi\right)\int_{0}^{\infty}\sin\left(x% \sinh t\right)\sinh\left(\nu t\right)\mathrm{d}t,}}

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DLMF:10.32.E7

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{\displaystyle{\displaystyle|\Re\nu|<1}}

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{\displaystyle{\displaystyle|\Re\nu|<1}}

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{\displaystyle{\displaystyle x>0}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

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cosecant function

Defining formula

{\displaystyle{\displaystyle\csc\NVar{z}}}

C4.S14.E5.m2adec

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cosine function

Defining formula

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

C4.S14.E2.m2afdec

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Defining formula

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

C1.S4.SS4.m1afdec

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hyperbolic cosine function

Defining formula

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

C4.S28.E2.m2abdec

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Sitelinks

Wikipedia(0 entries)

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