DLMF:12.14.E34 (Q4276): Difference between revisions

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Revision as of 15:21, 29 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation		Latest revision as of 15:32, 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
			Q10931
		Property / Symbols used: Q10931 / rank
			Normal rank
		Property / Symbols used: Q10931 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sim}}$ \asympexp
		Property / Symbols used: Q10931 / qualifier
			xml-id: C2.S1.SS3.p1.m11aidec
		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.m2addec
		Property / Symbols used
			Q11543
		Property / Symbols used: Q11543 / rank
			Normal rank
		Property / Symbols used: Q11543 / qualifier
			Defining formula: ${\displaystyle{\displaystyle W\left(\NVar{a},\NVar{x}\right)}}$ \paraW@{\NVar{a}}{\NVar{x}}
		Property / Symbols used: Q11543 / qualifier
			xml-id: C12.S14.SS1.p1.m1ardec
		Property / Symbols used
			sine function
		Property / Symbols used: sine function / rank
			Normal rank
		Property / Symbols used: sine function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sin\NVar{z}}}$ \sin@@{\NVar{z}}
		Property / Symbols used: sine function / qualifier
			xml-id: C4.S14.E1.m2addec
		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.m1gdec
		Property / Symbols used
			solution (locally)
		Property / Symbols used: solution (locally) / rank
			Normal rank
		Property / Symbols used: solution (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\overline{u}_{s}(t)}}$ \overline{u}_{s}(t)
		Property / Symbols used: solution (locally) / qualifier
			xml-id: C12.S10.XMD16.m1dec
		Property / Symbols used
			DLMF:12.14.E27
		Property / Symbols used: DLMF:12.14.E27 / rank
			Normal rank
		Property / Symbols used: DLMF:12.14.E27 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sigma}}$ \sigma
		Property / Symbols used: DLMF:12.14.E27 / qualifier
			xml-id: C12.S14.XMD12.m1cdec
		Property / Symbols used
			DLMF:12.14.E28
		Property / Symbols used: DLMF:12.14.E28 / rank
			Normal rank
		Property / Symbols used: DLMF:12.14.E28 / qualifier
			Defining formula: ${\displaystyle{\displaystyle l(\mu)}}$ l(\mu)
		Property / Symbols used: DLMF:12.14.E28 / qualifier
			xml-id: C12.S14.XMD13.m1gdec
		Property / Symbols used
			DLMF:12.14.E36
		Property / Symbols used: DLMF:12.14.E36 / rank
			Normal rank
		Property / Symbols used: DLMF:12.14.E36 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\overline{\sigma}}}$ \overline{\sigma}
		Property / Symbols used: DLMF:12.14.E36 / qualifier
			xml-id: C12.S14.XMD15.m1dec

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Latest revision as of 15:32, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:12.14.E34	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle W\left(-\tfrac{1}{2}\mu^{2},\mu t\sqrt{2}\right)\sim\frac{l(\mu)}{(t^{2}+1)^{\frac{1}{4}}}\left(\cos\overline{\sigma}\sum_{s=0}^{\infty}\frac{(-1)^{s}\overline{u}_{2s}(t)}{(t^{2}+1)^{3s}\mu^{4s}}-\sin\overline{\sigma}\sum_{s=0}^{\infty}\frac{(-1)^{s}\overline{u}_{2s+1}(t)}{(t^{2}+1)^{3s+\frac{3}{2}}\mu^{4s+2}}\right),}}$

0 references

DLMF id

DLMF:12.14.E34

0 references

Symbols used

Q10931

Defining formula

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

xml-id

C2.S1.SS3.p1.m11aidec

0 references

cosine function

Defining formula

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

xml-id

C4.S14.E2.m2addec

0 references

Q11543

Defining formula

${\displaystyle{\displaystyle W\left(\NVar{a},\NVar{x}\right)}}$

xml-id

C12.S14.SS1.p1.m1ardec

0 references

sine function

Defining formula

${\displaystyle{\displaystyle\sin\NVar{z}}}$

xml-id

C4.S14.E1.m2addec

0 references

Q11526

Defining formula

${\displaystyle{\displaystyle s}}$

xml-id

C12.S1.XMD5.m1gdec

0 references

solution (locally)

Defining formula

${\displaystyle{\displaystyle\overline{u}_{s}(t)}}$

xml-id

C12.S10.XMD16.m1dec

0 references

DLMF:12.14.E27

Defining formula

${\displaystyle{\displaystyle\sigma}}$

xml-id

C12.S14.XMD12.m1cdec

0 references

DLMF:12.14.E28

Defining formula

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

xml-id

C12.S14.XMD13.m1gdec

0 references

DLMF:12.14.E36

Defining formula

${\displaystyle{\displaystyle\overline{\sigma}}}$

xml-id

C12.S14.XMD15.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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