DLMF:19.20.E13 (Q6398): Difference between revisions

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Revision as of 17:49, 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 13:57, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / constraint
			${\displaystyle{\displaystyle p=x\pm\sqrt{(y-x)(z-x)}}}$ p=x\pm\sqrt{(y-x)(z-x)}
		Property / constraint: ${\displaystyle{\displaystyle p=x\pm\sqrt{(y-x)(z-x)}}}$ / rank
			Normal rank
		Property / Symbols used
			Carlson’s combination of inverse circular and inverse hyperbolic functions
		Property / Symbols used: Carlson’s combination of inverse circular and inverse hyperbolic functions / rank
			Normal rank
		Property / Symbols used: Carlson’s combination of inverse circular and inverse hyperbolic functions / qualifier
			Defining formula: ${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$ \CarlsonellintRC@{\NVar{x}}{\NVar{y}}
		Property / Symbols used: Carlson’s combination of inverse circular and inverse hyperbolic functions / qualifier
			xml-id: C19.S2.E17.m2addec
		Property / Symbols used
			symmetric elliptic integral of first kind
		Property / Symbols used: symmetric elliptic integral of first kind / rank
			Normal rank
		Property / Symbols used: symmetric elliptic integral of first kind / qualifier
			Defining formula: ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$ \CarlsonsymellintRF@{\NVar{x}}{\NVar{y}}{\NVar{z}}
		Property / Symbols used: symmetric elliptic integral of first kind / qualifier
			xml-id: C19.S16.E1.m2aedec
		Property / Symbols used
			symmetric elliptic integral of third kind
		Property / Symbols used: symmetric elliptic integral of third kind / rank
			Normal rank
		Property / Symbols used: symmetric elliptic integral of third kind / qualifier
			Defining formula: ${\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}\right)}}$ \CarlsonsymellintRJ@{\NVar{x}}{\NVar{y}}{\NVar{z}}{\NVar{p}}
		Property / Symbols used: symmetric elliptic integral of third kind / qualifier
			xml-id: C19.S16.E2.m2agdec

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Latest revision as of 13:57, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.20.E13	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle 2(p-x)R_{J}\left(x,y,z,p\right)=3R_{F}\left(x,y,z\right)-3\sqrt{x}R_{C}\left(yz,p^{2}\right),}}$

0 references

DLMF id

DLMF:19.20.E13

0 references

constraint

${\displaystyle{\displaystyle p=x\pm\sqrt{(y-x)(z-x)}}}$

0 references

Symbols used

Carlson’s combination of inverse circular and inverse hyperbolic functions

Defining formula

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

xml-id

C19.S2.E17.m2addec

0 references

symmetric elliptic integral of first kind

Defining formula

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

xml-id

C19.S16.E1.m2aedec

0 references

symmetric elliptic integral of third kind

Defining formula

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

xml-id

C19.S16.E2.m2agdec

0 references

 

Sitelinks

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