DLMF:10.45.E8 (Q3665)

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Language	Label	Description	Also known as
English	DLMF:10.45.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\widetilde{K}_{0}\left(x\right)=K_{0}\left(x\right% )=-\ln\left(\tfrac{1}{2}x\right)-\gamma+O\left(x^{2}\ln x\right),}}

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DLMF:10.45.E8

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2acdec

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Euler’s constant

Defining formula

{\displaystyle{\displaystyle\gamma}}

C5.S2.E3.m2adec

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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.m2aadec

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modified Bessel function fo the second kind of imaginary order

Defining formula

{\displaystyle{\displaystyle\widetilde{K}_{\NVar{\nu}}\left(\NVar{x}\right)}}

C10.S45.E2.m3aedec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2abdec

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Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1gdec

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Sitelinks

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