DLMF:10.7.E5 (Q3058)

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Language	Label	Description	Also known as
English	DLMF:10.7.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle Y_{-\nu}\left(z\right)\sim-(1/\pi)\cos\left(\nu% \pi\right)\Gamma\left(\nu\right)(\tfrac{1}{2}z)^{-\nu},}}

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DLMF:10.7.E5

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{\displaystyle{\displaystyle\Re\nu>0}}

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{\displaystyle{\displaystyle\Re\nu>0}}

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{\displaystyle{\displaystyle\nu\neq\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2},% \ldots}}

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Bessel function of the second kind

Defining formula

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

C10.S2.E3.m2abdec

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Defining formula

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

C5.S2.E1.m2abdec

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asymptotic equality

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.E1.m2addec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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cosine function

Defining formula

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

C4.S14.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1ddec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1bdec

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Sitelinks

Wikipedia(0 entries)

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