DLMF:10.24.E7 (Q3485)

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Language	Label	Description	Also known as
English	DLMF:10.24.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\widetilde{J}_{\nu}\left(x\right)=\left(\frac{2% \tanh\left(\frac{1}{2}\pi\nu\right)}{\pi\nu}\right)^{\frac{1}{2}}\cos\left(\nu% \ln\left(\tfrac{1}{2}x\right)-\gamma_{\nu}\right)+O\left(x^{2}\right),}}

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DLMF:10.24.E7

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Defining formula

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

C10.S24.Ex1.m2addec

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order not exceeding

Defining formula

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

C2.S1.E3.m2aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

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cosine function

Defining formula

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

C4.S14.E2.m2aadec

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hyperbolic tangent function

Defining formula

{\displaystyle{\displaystyle\tanh\NVar{z}}}

C4.S28.E4.m2adec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1edec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1fdec

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Defining formula

{\displaystyle{\displaystyle\gamma_{\nu}}}

C10.S24.XMD1.m1adec

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Sitelinks

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