DLMF:11.4.E20 (Q3952): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:11.4.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathbf{H}_{\nu}\left(z\right)=\frac{(\tfrac{1}{2}% z)^{\nu+\frac{1}{2}}}{\Gamma\left(\nu+\tfrac{1}{2}\right)}\sum_{k=0}^{\infty}% \frac{(\tfrac{1}{2}z)^{k}}{k!(k+\nu+\tfrac{1}{2})}J_{k+\frac{1}{2}}\left(z% \right),}}

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DLMF:11.4.E20

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2acdec

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Defining formula

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

C5.S2.E1.m2abdec

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Struve function

Defining formula

{\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C11.S2.E1.m2ajdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5addec

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Defining formula

{\displaystyle{\displaystyle z}}

C11.S1.XMD2.m1rdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C11.S1.XMD3.m1gdec

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Defining formula

{\displaystyle{\displaystyle k}}

C11.S1.XMD5.m1bdec

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Sitelinks

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