DLMF:10.17.E6 (Q3175)

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Language	Label	Description	Also known as
English	DLMF:10.17.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{H^{(2)}_{\nu}}\left(z\right)\sim\left(\frac{2}{% \pi z}\right)^{\frac{1}{2}}e^{-i\omega}\sum_{k=0}^{\infty}(-i)^{k}\frac{a_{k}(% \nu)}{z^{k}},}}

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DLMF:10.17.E6

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{\displaystyle{\displaystyle-2\pi+\delta\leq\operatorname{ph}z\leq\pi-\delta}}

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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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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2aadec

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Defining formula

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

C1.S9.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1acdec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1ddec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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