DLMF:10.9#Ex6 (Q3080): Difference between revisions

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Revision as of 13:44, 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 17:16, 30 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / constraint
			${\displaystyle{\displaystyle|\Re\nu|<\tfrac{1}{2}}}$ |\realpart@@{\nu}|<\tfrac{1}{2}
		Property / constraint: ${\displaystyle{\displaystyle|\Re\nu|<\tfrac{1}{2}}}$ / rank
			Normal rank
		Property / constraint
			${\displaystyle{\displaystyle|\Re\nu|<\tfrac{1}{2}}}$ |\Re\nu|<\tfrac{1}{2}
		Property / constraint: ${\displaystyle{\displaystyle|\Re\nu|<\tfrac{1}{2}}}$ / rank
			Normal rank
		Property / constraint
			${\displaystyle{\displaystyle x>0}}$ x>0
		Property / constraint: ${\displaystyle{\displaystyle x>0}}$ / rank
			Normal rank

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Latest revision as of 17:16, 30 December 2019

No description defined

Language	Label	Description	Also known as
English	DLMF:10.9#Ex6	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle Y_{\nu}\left(x\right)=-\frac{2(\tfrac{1}{2}x)^{-\nu}}{\pi^{\frac{1}{2}}\Gamma\left(\tfrac{1}{2}-\nu\right)}\int_{1}^{\infty}\frac{\cos\left(xt\right)\mathrm{d}t}{(t^{2}-1)^{\nu+\frac{1}{2}}},}}$

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DLMF id

DLMF:10.9#Ex6

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constraint

${\displaystyle{\displaystyle|\Re\nu|<\tfrac{1}{2}}}$

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${\displaystyle{\displaystyle|\Re\nu|<\tfrac{1}{2}}}$

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${\displaystyle{\displaystyle x>0}}$

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