DLMF:10.68.E20 (Q3890)

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Language	Label	Description	Also known as
English	DLMF:10.68.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\ln N_{\nu}\left(x\right)=-\frac{x}{\sqrt{2}}+% \frac{1}{2}\ln\left(\frac{\pi}{2x}\right)+\frac{\mu-1}{8\sqrt{2}}\frac{1}{x}+% \frac{(\mu-1)(\mu-25)}{384\sqrt{2}}\frac{1}{x^{3}}-\frac{(\mu-1)(\mu-13)}{128}% \frac{1}{x^{4}}+O\left(\frac{1}{x^{5}}\right),}}

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DLMF:10.68.E20

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order not exceeding

Defining formula

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

C2.S1.E3.m2addec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aldec

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modulus of derivatives of Bessel functions

Defining formula

{\displaystyle{\displaystyle N_{\NVar{\nu}}\left(\NVar{x}\right)}}

C10.S18.E2.m2aedec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2aadec

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Sitelinks

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