DLMF:10.24.E8 (Q3486): Difference between revisions

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Revision as of 13:34, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:34, 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
			Q11435
		Property / Symbols used: Q11435 / rank
			Normal rank
		Property / Symbols used: Q11435 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11435 / qualifier
			xml-id: C10.S1.XMD4.m1fdec
		Property / Symbols used
			Q11427
		Property / Symbols used: Q11427 / rank
			Normal rank
		Property / Symbols used: Q11427 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\nu}}$ \nu
		Property / Symbols used: Q11427 / qualifier
			xml-id: C10.S1.XMD7.m1gdec
		Property / Symbols used
			Q11477
		Property / Symbols used: Q11477 / rank
			Normal rank
		Property / Symbols used: Q11477 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\gamma_{\nu}}}$ \gamma_{\nu}
		Property / Symbols used: Q11477 / qualifier
			xml-id: C10.S24.XMD1.m1bdec

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Latest revision as of 13:34, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.24.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\widetilde{Y}_{\nu}\left(x\right)=\left(\frac{2\coth\left(\frac{1}{2}\pi\nu\right)}{\pi\nu}\right)^{\frac{1}{2}}\*\sin\left(\nu\ln\left(\tfrac{1}{2}x\right)-\gamma_{\nu}\right)+O\left(x^{2}\right),}}$

0 references

DLMF id

DLMF:10.24.E8

0 references

constraint

${\displaystyle{\displaystyle\nu>0}}$

0 references

Symbols used

Q11479

Defining formula

${\displaystyle{\displaystyle\widetilde{Y}_{\NVar{\nu}}\left(\NVar{x}\right)}}$

xml-id

C10.S24.Ex2.m2addec

0 references

order not exceeding

Defining formula

${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$

xml-id

C2.S1.E3.m2abdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2aedec

0 references

hyperbolic cotangent function

Defining formula

${\displaystyle{\displaystyle\coth\NVar{z}}}$

xml-id

C4.S28.E7.m2adec

0 references

principal branch of logarithm function

Defining formula

${\displaystyle{\displaystyle\ln\NVar{z}}}$

xml-id

C4.S2.E2.m2aadec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2aadec

0 references

Q11435

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C10.S1.XMD4.m1fdec

0 references

Q11427

Defining formula

${\displaystyle{\displaystyle\nu}}$

xml-id

C10.S1.XMD7.m1gdec

0 references

Q11477

Defining formula

${\displaystyle{\displaystyle\gamma_{\nu}}}$

xml-id

C10.S24.XMD1.m1bdec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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