DLMF:12.10.E36 (Q4201): Difference between revisions

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Revision as of 15:21, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:22, 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
			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.m2acdec
		Property / Symbols used
			Q11320
		Property / Symbols used: Q11320 / rank
			Normal rank
		Property / Symbols used: Q11320 / qualifier
			Defining formula: ${\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}$ \paraU@{\NVar{a}}{\NVar{z}}
		Property / Symbols used: Q11320 / qualifier
			xml-id: C12.S2.SS1.p1.m1ahdec
		Property / Symbols used
			Q11526
		Property / Symbols used: Q11526 / rank
			Normal rank
		Property / Symbols used: Q11526 / qualifier
			Defining formula: ${\displaystyle{\displaystyle s}}$ s
		Property / Symbols used: Q11526 / qualifier
			xml-id: C12.S1.XMD5.m1ydec
		Property / Symbols used
			Q11534
		Property / Symbols used: Q11534 / rank
			Normal rank
		Property / Symbols used: Q11534 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\zeta}}$ \zeta
		Property / Symbols used: Q11534 / qualifier
			xml-id: C12.S10.XMD21.m1adec
		Property / Symbols used
			function (locally)
		Property / Symbols used: function (locally) / rank
			Normal rank
		Property / Symbols used: function (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\phi(\zeta)}}$ \phi(\zeta)
		Property / Symbols used: function (locally) / qualifier
			xml-id: C12.S10.XMD22.m1adec
		Property / Symbols used
			Q11537
		Property / Symbols used: Q11537 / rank
			Normal rank
		Property / Symbols used: Q11537 / qualifier
			Defining formula: ${\displaystyle{\displaystyle C_{s}(\zeta)}}$ C_{s}(\zeta)
		Property / Symbols used: Q11537 / qualifier
			xml-id: C12.S10.XMD27.m1dec
		Property / Symbols used
			Q11538
		Property / Symbols used: Q11538 / rank
			Normal rank
		Property / Symbols used: Q11538 / qualifier
			Defining formula: ${\displaystyle{\displaystyle D_{s}(\zeta)}}$ D_{s}(\zeta)
		Property / Symbols used: Q11538 / qualifier
			xml-id: C12.S10.XMD28.m1dec
		Property / Symbols used
			expansion (locally)
		Property / Symbols used: expansion (locally) / rank
			Normal rank
		Property / Symbols used: expansion (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle g(\mu)}}$ g(\mu)
		Property / Symbols used: expansion (locally) / qualifier
			xml-id: C12.S10.XMD7.m1jdec

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Latest revision as of 15:22, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:12.10.E36	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle U'\left(-\frac{1}{2}\mu^{2},\mu t\sqrt{2}\right)\sim\frac{(2\pi)^{\frac{1}{2}}\mu^{\frac{2}{3}}g(\mu)}{\phi(\zeta)}\*\left(\frac{\mathrm{Ai}\left(\mu^{\frac{4}{3}}\zeta\right)}{\mu^{\frac{4}{3}}}\sum_{s=0}^{\infty}\frac{C_{s}(\zeta)}{\mu^{4s}}+\mathrm{Ai}'\left(\mu^{\frac{4}{3}}\zeta\right)\sum_{s=0}^{\infty}\frac{D_{s}(\zeta)}{\mu^{4s}}\right),}}$

0 references

DLMF id

DLMF:12.10.E36

0 references

Symbols used

Q10919

Defining formula

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

xml-id

C9.S2.SS1.m1aadec

0 references

Q10931

Defining formula

${\displaystyle{\displaystyle\sim}}$

xml-id

C2.S1.SS3.p1.m11aodec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2acdec

0 references

Q11320

Defining formula

${\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}$

xml-id

C12.S2.SS1.p1.m1ahdec

0 references

Q11526

Defining formula

${\displaystyle{\displaystyle s}}$

xml-id

C12.S1.XMD5.m1ydec

0 references

Q11534

Defining formula

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

xml-id

C12.S10.XMD21.m1adec

0 references

function (locally)

Defining formula

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

xml-id

C12.S10.XMD22.m1adec

0 references

Q11537

Defining formula

${\displaystyle{\displaystyle C_{s}(\zeta)}}$

xml-id

C12.S10.XMD27.m1dec

0 references

Q11538

Defining formula

${\displaystyle{\displaystyle D_{s}(\zeta)}}$

xml-id

C12.S10.XMD28.m1dec

0 references

expansion (locally)

Defining formula

${\displaystyle{\displaystyle g(\mu)}}$

xml-id

C12.S10.XMD7.m1jdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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