DLMF:9.6.E20 (Q2800): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:9.6.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{H^{(2)}_{2/3}}\left(\zeta\right)=e^{2\pi i/3}{H^{% (2)}_{-2/3}}\left(\zeta\right)=e^{-\pi i/6}(\sqrt{3}/z)\left(\mathrm{Ai}'\left% (-z\right)+i\mathrm{Bi}'\left(-z\right)\right).}}

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DLMF:9.6.E20

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Defining formula

{\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}

C9.S2.SS1.m1amdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}

C9.S2.SS1.m2akdec

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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.m2aidec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2amdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2akdec

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Defining formula

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

C1.S9.E1.m2akdec

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Defining formula

{\displaystyle{\displaystyle z}}

C9.S1.XMD3.m1sdec

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change of variable (locally)

Defining formula

{\displaystyle{\displaystyle\zeta(z)}}

C9.S6.XMD2.m1jdec

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Sitelinks

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