DLMF:9.12.E23 (Q2951): Difference between revisions

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Revision as of 14:55, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:55, 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
			Q10770
		Property / Symbols used: Q10770 / rank
			Normal rank
		Property / Symbols used: Q10770 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ \diff{\NVar{x}}
		Property / Symbols used: Q10770 / qualifier
			xml-id: C1.S4.SS4.m1afdec
		Property / Symbols used
			modified Bessel function of the second kind
		Property / Symbols used: modified Bessel function of the second kind / rank
			Normal rank
		Property / Symbols used: modified Bessel function of the second kind / qualifier
			Defining formula: ${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$ \modBesselK{\NVar{\nu}}@{\NVar{z}}
		Property / Symbols used: modified Bessel function of the second kind / qualifier
			xml-id: C10.S25.E3.m2aadec
		Property / Symbols used
			Cauchy principal value
		Property / Symbols used: Cauchy principal value / rank
			Normal rank
		Property / Symbols used: Cauchy principal value / qualifier
			Defining formula: ${\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}$ \pvint_{\NVar{a}}^{\NVar{b}}
		Property / Symbols used: Cauchy principal value / qualifier
			xml-id: C1.S4.E24.m2adec
		Property / Symbols used
			Q11382
		Property / Symbols used: Q11382 / rank
			Normal rank
		Property / Symbols used: Q11382 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11382 / qualifier
			xml-id: C9.S1.XMD2.m1cdec
		Property / Symbols used
			Q11412
		Property / Symbols used: Q11412 / rank
			Normal rank
		Property / Symbols used: Q11412 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\zeta}}$ \zeta
		Property / Symbols used: Q11412 / qualifier
			xml-id: C9.S12.XMD7.m1adec

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Latest revision as of 14:55, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:9.12.E23	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathrm{Gi}\left(x\right)=\frac{4x^{2}}{3^{3/2}\pi^{2}}\pvint_{0}^{\infty}\frac{K_{1/3}\left(t\right)}{\zeta^{2}-t^{2}}\mathrm{d}t,}}$

0 references

DLMF id

DLMF:9.12.E23

0 references

constraint

${\displaystyle{\displaystyle x>0}}$

0 references

Symbols used

Scorer function (inhomogeneous Airy function)

Defining formula

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

xml-id

C9.S12.E4.m2amdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2apdec

0 references

Q10770

Defining formula

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

xml-id

C1.S4.SS4.m1afdec

0 references

modified Bessel function of the second kind

Defining formula

${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$

xml-id

C10.S25.E3.m2aadec

0 references

Cauchy principal value

Defining formula

${\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}$

xml-id

C1.S4.E24.m2adec

0 references

Q11382

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C9.S1.XMD2.m1cdec

0 references

Q11412

Defining formula

${\displaystyle{\displaystyle\zeta}}$

xml-id

C9.S12.XMD7.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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