DLMF:10.27.E10 (Q3500): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.27.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle-\pi Y_{\nu}\left(z\right)=e^{-\nu\pi i/2}K_{\nu}% \left(ze^{-\pi i/2}\right)+e^{\nu\pi i/2}K_{\nu}\left(ze^{\pi i/2}\right),}}

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DLMF:10.27.E10

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

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Bessel function of the second kind

Defining formula

{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E3.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2addec

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Defining formula

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

C1.S9.E1.m2addec

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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.m2afdec

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Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1addec

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Sitelinks

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