DLMF:19.27.E6 (Q6598): Difference between revisions

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Revision as of 17:55, 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 14:15, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / constraint
			${\displaystyle{\displaystyle y/z\to 0}}$ y/z\to 0
		Property / constraint: ${\displaystyle{\displaystyle y/z\to 0}}$ / rank
			Normal rank
		Property / Symbols used
			order not exceeding
		Property / Symbols used: order not exceeding / rank
			Normal rank
		Property / Symbols used: order not exceeding / qualifier
			Defining formula: ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$ \bigO@{\NVar{x}}
		Property / Symbols used: order not exceeding / qualifier
			xml-id: C2.S1.E3.m2addec
		Property / Symbols used
			symmetric elliptic integral of second kind
		Property / Symbols used: symmetric elliptic integral of second kind / rank
			Normal rank
		Property / Symbols used: symmetric elliptic integral of second kind / qualifier
			Defining formula: ${\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$ \CarlsonsymellintRG@{\NVar{x}}{\NVar{y}}{\NVar{z}}
		Property / Symbols used: symmetric elliptic integral of second kind / qualifier
			xml-id: C19.S16.E3.m2abdec
		Property / Symbols used
			principal branch of logarithm function
		Property / Symbols used: principal branch of logarithm function / rank
			Normal rank
		Property / Symbols used: principal branch of logarithm function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\ln\NVar{z}}}$ \ln@@{\NVar{z}}
		Property / Symbols used: principal branch of logarithm function / qualifier
			xml-id: C4.S2.E2.m2abdec

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Latest revision as of 14:15, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.27.E6	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle R_{G}\left(0,y,z\right)={\frac{\sqrt{z}}{2}+\frac{y}{8\sqrt{z}}\left(\ln\left(\frac{16z}{y}\right)-1\right)\*\left(1+O\left(\frac{y}{z}\right)\right)},}}$

0 references

DLMF id

DLMF:19.27.E6

0 references

constraint

${\displaystyle{\displaystyle y/z\to 0}}$

0 references

Symbols used

order not exceeding

Defining formula

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

xml-id

C2.S1.E3.m2addec

0 references

symmetric elliptic integral of second kind

Defining formula

${\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$

xml-id

C19.S16.E3.m2abdec

0 references

principal branch of logarithm function

Defining formula

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

xml-id

C4.S2.E2.m2abdec

0 references

 

Sitelinks

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