DLMF:10.11.E8 (Q3111)

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Language	Label	Description	Also known as
English	DLMF:10.11.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{H^{(2)}_{n}}\left(ze^{m\pi i}\right)=(-1)^{mn}(m{% H^{(1)}_{n}}\left(z\right)+(m+1){H^{(2)}_{n}}\left(z\right)).}}

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DLMF:10.11.E8

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Bessel function of the third kind (or Hankel function)

Defining formula

{\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}

C10.S2.E5.m2addec

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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.m2addec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2agdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2agdec

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Defining formula

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

C1.S9.E1.m2agdec

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Defining formula

{\displaystyle{\displaystyle m}}

C10.S1.XMD1.m1fdec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1bdec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1gdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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