DLMF:10.47.E6 (Q3674)

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Language	Label	Description	Also known as
English	DLMF:10.47.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\mathsf{h}^{(2)}_{n}}\left(z\right)=\sqrt{\tfrac{% 1}{2}\pi/z}{H^{(2)}_{n+\frac{1}{2}}}\left(z\right)=(-1)^{n}\mathrm{i}\sqrt{% \tfrac{1}{2}\pi/z}{H^{(2)}_{-n-\frac{1}{2}}}\left(z\right).}}

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DLMF:10.47.E6

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Symbols defined

spherical Bessel function of the third kind

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Bessel function of the third kind (or Hankel function)

Defining formula

{\displaystyle{\displaystyle{H^{(2)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}

C10.S2.E6.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1edec

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Sitelinks

Wikipedia(0 entries)

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