DLMF:10.65.E8 (Q3841)

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Language	Label	Description	Also known as
English	DLMF:10.65.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{ber}_{\nu}x\operatorname{ber}_{\nu}'% x+\operatorname{bei}_{\nu}x\operatorname{bei}_{\nu}'x=\tfrac{1}{2}(\tfrac{1}{2% }x)^{2\nu-1}\sum_{k=0}^{\infty}\frac{1}{\Gamma\left(\nu+k+1\right)\Gamma\left(% \nu+2k\right)}\frac{(\frac{1}{4}x^{2})^{2k}}{k!},}}

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DLMF:10.65.E8

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2acdec

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Kelvin function

Defining formula

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

C10.S61.E1.m3agdec

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Kelvin function

Defining formula

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

C10.S61.E1.m2agdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5agdec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1fdec

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Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1gdec

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Sitelinks

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