DLMF:9.6.E18 (Q2798): Difference between revisions

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Revision as of 14:29, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:29, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			imaginary unit
		Property / Symbols used: imaginary unit / rank
			Normal rank
		Property / Symbols used: imaginary unit / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{i}}}$ \iunit
		Property / Symbols used: imaginary unit / qualifier
			xml-id: C1.S9.E1.m2aidec
		Property / Symbols used
			Q11381
		Property / Symbols used: Q11381 / rank
			Normal rank
		Property / Symbols used: Q11381 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11381 / qualifier
			xml-id: C9.S1.XMD3.m1qdec
		Property / Symbols used
			change of variable (locally)
		Property / Symbols used: change of variable (locally) / rank
			Normal rank
		Property / Symbols used: change of variable (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\zeta(z)}}$ \zeta(z)
		Property / Symbols used: change of variable (locally) / qualifier
			xml-id: C9.S6.XMD2.m1hdec

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Latest revision as of 14:29, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:9.6.E18	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{H^{(1)}_{2/3}}\left(\zeta\right)=e^{-2\pi i/3}{H^{(1)}_{-2/3}}\left(\zeta\right)=e^{\pi i/6}(\sqrt{3}/z)\left(\mathrm{Ai}'\left(-z\right)-i\mathrm{Bi}'\left(-z\right)\right),}}$

0 references

DLMF id

DLMF:9.6.E18

0 references

Symbols used

Q10919

Defining formula

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

xml-id

C9.S2.SS1.m1akdec

0 references

Q11081

Defining formula

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

xml-id

C9.S2.SS1.m2aidec

0 references

Bessel function of the third kind (or Hankel function)

Defining formula

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

xml-id

C10.S2.E5.m2aidec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C3.S12.E1.m2akdec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2aidec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2aidec

0 references

Q11381

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C9.S1.XMD3.m1qdec

0 references

change of variable (locally)

Defining formula

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

xml-id

C9.S6.XMD2.m1hdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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