DLMF:10.68.E8 (Q3874)

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Language	Label	Description	Also known as
English	DLMF:10.68.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{ber}_{\nu}'x=\tfrac{1}{2}M_{\nu+1}% \cos\left(\theta_{\nu+1}-\tfrac{1}{4}\pi\right)-\tfrac{1}{2}M_{\nu-1}\cos\left% (\theta_{\nu-1}-\tfrac{1}{4}\pi\right)=(\nu/x)M_{\nu}\cos\theta_{\nu}+M_{\nu+1% }\cos\left(\theta_{\nu+1}-\tfrac{1}{4}\pi\right)=-(\nu/x)M_{\nu}\cos\theta_{% \nu}-M_{\nu-1}\cos\left(\theta_{\nu-1}-\tfrac{1}{4}\pi\right),}}

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DLMF:10.68.E8

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Kelvin function

Defining formula

{\displaystyle{\displaystyle\operatorname{ber}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C10.S61.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.m2aadec

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cosine function

Defining formula

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

C4.S14.E2.m2abdec

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modulus of Bessel functions

Defining formula

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

C10.S18.E1.m2addec

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Defining formula

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

C10.S18.E3.m1addec

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Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1gdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1fdec

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