DLMF:10.61.E3 (Q3792): Difference between revisions

Revision as of 17:41, 30 December 2019

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Language	Label	Description	Also known as
English	DLMF:10.61.E3	No description defined

{\displaystyle{\displaystyle x^{2}\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}x}^{2}}+% x\frac{\mathrm{d}w}{\mathrm{d}x}-(ix^{2}+\nu^{2})w=0,}}

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DLMF:10.61.E3

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{\displaystyle{\displaystyle w=\begin{array}[t]{cc}\operatorname{ber}_{\nu}x+i% \operatorname{bei}_{\nu}x,&\operatorname{ber}_{-\nu}x+i\operatorname{bei}_{-% \nu}x\\ \operatorname{ker}_{\nu}x+i\operatorname{kei}_{\nu}x,&\operatorname{ker}_{-\nu% }x+i\operatorname{kei}_{-\nu}x.\end{array}}}

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Revision as of 15:05, 29 December 2019 Admin (talk \| contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation	Revision as of 17:41, 30 December 2019 Admin (talk \| contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint Newer edit →
	Property / constraint
		${\displaystyle{\displaystyle w=\begin{array}[t]{cc}\operatorname{ber}_{\nu}x+i% \operatorname{bei}_{\nu}x,&\operatorname{ber}_{-\nu}x+i\operatorname{bei}_{-% \nu}x\\ \operatorname{ker}_{\nu}x+i\operatorname{kei}_{\nu}x,&\operatorname{ker}_{-\nu% }x+i\operatorname{kei}_{-\nu}x.\end{array}}}$ `w=\begin{array}[t]{cc}\Kelvinber{\nu}@@{x}+i\Kelvinbei{\nu}@@{x},&\Kelvinber{-\nu}@@{x}+i\Kelvinbei{-\nu}@@{x}\\ \Kelvinker{\nu}@@{x}+i\Kelvinkei{\nu}@@{x},&\Kelvinker{-\nu}@@{x}+i\Kelvinkei{-\nu}@@{x}.\end{array}`
	Property / constraint: ${\displaystyle{\displaystyle w=\begin{array}[t]{cc}\operatorname{ber}_{\nu}x+i% \operatorname{bei}_{\nu}x,&\operatorname{ber}_{-\nu}x+i\operatorname{bei}_{-% \nu}x\\ \operatorname{ker}_{\nu}x+i\operatorname{kei}_{\nu}x,&\operatorname{ker}_{-\nu% }x+i\operatorname{kei}_{-\nu}x.\end{array}}}$ / rank
		Normal rank