DLMF:11.9.E7 (Q4015): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:11.9.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle s_{{\mu},{\nu}}\left(z\right)=2^{\mu+1}\sum_{k=0}% ^{\infty}\*\frac{(2k+\mu+1)\Gamma\left(k+\mu+1\right)}{k!(2k+\mu-\nu+1)(2k+\mu% +\nu+1)}J_{2k+\mu+1}\left(z\right),}}

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DLMF:11.9.E7

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Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E2.m2abdec

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Defining formula

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

C5.S2.E1.m2aadec

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Lommel function

Defining formula

{\displaystyle{\displaystyle s_{{\NVar{\mu}},{\NVar{\nu}}}\left(\NVar{z}\right% )}}

C11.S9.E3.m2addec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

{\displaystyle{\displaystyle z}}

C11.S1.XMD2.m1edec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C11.S1.XMD3.m1fdec

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Defining formula

{\displaystyle{\displaystyle k}}

C11.S1.XMD5.m1bdec

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Sitelinks

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