DLMF:9.12.E16 (Q2944): Difference between revisions

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Revision as of 14:54, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:54, 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
			Scorer function (inhomogeneous Airy function)
		Property / Symbols used: Scorer function (inhomogeneous Airy function) / rank
			Normal rank
		Property / Symbols used: Scorer function (inhomogeneous Airy function) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{Gi}\left(\NVar{z}\right)}}$ \ScorerGi@{\NVar{z}}
		Property / Symbols used: Scorer function (inhomogeneous Airy function) / qualifier
			xml-id: C9.S12.E4.m2ajdec
		Property / Symbols used
			the ratio of the circumference of a circle to its diameter
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
			Normal rank
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			Defining formula: ${\displaystyle{\displaystyle\pi}}$ \cpi
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			xml-id: C3.S12.E1.m2aidec
		Property / Symbols used
			cosine function
		Property / Symbols used: cosine function / rank
			Normal rank
		Property / Symbols used: cosine function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\cos\NVar{z}}}$ \cos@@{\NVar{z}}
		Property / Symbols used: cosine function / qualifier
			xml-id: C4.S14.E2.m2aadec
		Property / Symbols used
			Q10755
		Property / Symbols used: Q10755 / rank
			Normal rank
		Property / Symbols used: Q10755 / qualifier
			Defining formula: ${\displaystyle{\displaystyle!}}$ !
		Property / Symbols used: Q10755 / qualifier
			xml-id: introduction.Sx4.p1.t1.r15.m5aadec
		Property / Symbols used
			Q11385
		Property / Symbols used: Q11385 / rank
			Normal rank
		Property / Symbols used: Q11385 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q11385 / qualifier
			xml-id: C9.S1.XMD1.m1adec
		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.m1mdec

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Latest revision as of 14:54, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:9.12.E16	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathrm{Gi}'\left(z\right)=\frac{3^{-1/3}}{\pi}\*\sum_{k=0}^{\infty}\cos\left(\frac{2k+1}{3}\pi\right)\Gamma\left(\frac{k+2}{3}\right)\frac{(3^{1/3}z)^{k}}{k!}.}}$

0 references

DLMF id

DLMF:9.12.E16

0 references

Symbols used

gamma function

Defining formula

${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

xml-id

C5.S2.E1.m2acdec

0 references

Scorer function (inhomogeneous Airy function)

Defining formula

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

xml-id

C9.S12.E4.m2ajdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2aidec

0 references

cosine function

Defining formula

${\displaystyle{\displaystyle\cos\NVar{z}}}$

xml-id

C4.S14.E2.m2aadec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5aadec

0 references

Q11385

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C9.S1.XMD1.m1adec

0 references

Q11381

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C9.S1.XMD3.m1mdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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