DLMF:10.68.E9 (Q3875): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.68.E9	No description defined

Statements

Defining formula

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

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DLMF:10.68.E9

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Kelvin function

Defining formula

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

C10.S61.E1.m3addec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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modulus of Bessel functions

Defining formula

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

C10.S18.E1.m2aedec

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Defining formula

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

C10.S18.E3.m1aedec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1hdec

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Sitelinks

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