DLMF:10.71.E3 (Q3904): Difference between revisions

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Revision as of 14:33, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:33, 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
			Q11487
		Property / Symbols used: Q11487 / rank
			Normal rank
		Property / Symbols used: Q11487 / qualifier
			Defining formula: ${\displaystyle{\displaystyle f_{\nu}}}$ f_{\nu}
		Property / Symbols used: Q11487 / qualifier
			xml-id: C10.S63.XMD1.m1bdec
		Property / Symbols used
			Q11488
		Property / Symbols used: Q11488 / rank
			Normal rank
		Property / Symbols used: Q11488 / qualifier
			Defining formula: ${\displaystyle{\displaystyle g_{\nu}}}$ g_{\nu}
		Property / Symbols used: Q11488 / qualifier
			xml-id: C10.S63.XMD2.m1bdec
		Property / Symbols used
			Q11489
		Property / Symbols used: Q11489 / rank
			Normal rank
		Property / Symbols used: Q11489 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\widehat{f}_{\nu}}}$ \widehat{f}_{\nu}
		Property / Symbols used: Q11489 / qualifier
			xml-id: C10.S71.XMD1.m1dec
		Property / Symbols used
			Q11490
		Property / Symbols used: Q11490 / rank
			Normal rank
		Property / Symbols used: Q11490 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\widehat{g}_{\nu}}}$ \widehat{g}_{\nu}
		Property / Symbols used: Q11490 / qualifier
			xml-id: C10.S71.XMD2.m1dec

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Latest revision as of 14:33, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.71.E3	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\int x(f_{\nu}\widehat{g}_{\nu}-g_{\nu}\widehat{f}_{\nu})\mathrm{d}x=\frac{x}{2\sqrt{2}}\left(\widehat{f}_{\nu}(f_{\nu+1}+g_{\nu+1})-\widehat{g}_{\nu}(f_{\nu+1}-g_{\nu+1})-f_{\nu}(\widehat{f}_{\nu+1}+\widehat{g}_{\nu+1})+g_{\nu}(\widehat{f}_{\nu+1}-\widehat{g}_{\nu+1})\right)=\tfrac{1}{2}x(f_{\nu}^{\prime}\widehat{f}_{\nu}-f_{\nu}\widehat{f}_{\nu}^{\prime}+g_{\nu}^{\prime}\widehat{g}_{\nu}-g_{\nu}\widehat{g}^{\prime}_{\nu}),}}$

0 references

DLMF id

DLMF:10.71.E3

0 references

Symbols used

Q10770

Defining formula

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

xml-id

C1.S4.SS4.m1abdec

0 references

Q10771

Defining formula

${\displaystyle{\displaystyle\int}}$

xml-id

C1.S4.SS4.m3abdec

0 references

Q11435

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C10.S1.XMD4.m1bdec

0 references

Q11427

Defining formula

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

xml-id

C10.S1.XMD7.m1bdec

0 references

Q11487

Defining formula

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

xml-id

C10.S63.XMD1.m1bdec

0 references

Q11488

Defining formula

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

xml-id

C10.S63.XMD2.m1bdec

0 references

Q11489

Defining formula

${\displaystyle{\displaystyle\widehat{f}_{\nu}}}$

xml-id

C10.S71.XMD1.m1dec

0 references

Q11490

Defining formula

${\displaystyle{\displaystyle\widehat{g}_{\nu}}}$

xml-id

C10.S71.XMD2.m1dec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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