DLMF:19.29.E7 (Q6629): Difference between revisions

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Revision as of 14:18, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:19, 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
			Q10771
		Property / Symbols used: Q10771 / rank
			Normal rank
		Property / Symbols used: Q10771 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\int}}$ \int
		Property / Symbols used: Q10771 / qualifier
			xml-id: C1.S4.SS4.m3aadec
		Property / Symbols used
			Q11900
		Property / Symbols used: Q11900 / rank
			Normal rank
		Property / Symbols used: Q11900 / qualifier
			Defining formula: ${\displaystyle{\displaystyle X_{\alpha}}}$ X_{\alpha}
		Property / Symbols used: Q11900 / qualifier
			xml-id: C19.S29.XMD1.m1cdec
		Property / Symbols used
			Q11899
		Property / Symbols used: Q11899 / rank
			Normal rank
		Property / Symbols used: Q11899 / qualifier
			Defining formula: ${\displaystyle{\displaystyle U_{n}}}$ U_{n}
		Property / Symbols used: Q11899 / qualifier
			xml-id: C19.S29.XMD10.m1cdec
		Property / Symbols used
			Q11901
		Property / Symbols used: Q11901 / rank
			Normal rank
		Property / Symbols used: Q11901 / qualifier
			Defining formula: ${\displaystyle{\displaystyle Y_{\alpha}}}$ Y_{\alpha}
		Property / Symbols used: Q11901 / qualifier
			xml-id: C19.S29.XMD2.m1cdec
		Property / Symbols used
			Q11895
		Property / Symbols used: Q11895 / rank
			Normal rank
		Property / Symbols used: Q11895 / qualifier
			Defining formula: ${\displaystyle{\displaystyle d_{\alpha\beta}}}$ d_{\alpha\beta}
		Property / Symbols used: Q11895 / qualifier
			xml-id: C19.S29.XMD3.m1bdec
		Property / Symbols used
			Q11898
		Property / Symbols used: Q11898 / rank
			Normal rank
		Property / Symbols used: Q11898 / qualifier
			Defining formula: ${\displaystyle{\displaystyle s(t)}}$ s(t)
		Property / Symbols used: Q11898 / qualifier
			xml-id: C19.S29.XMD4.m1bdec
		Property / Symbols used
			Q11896
		Property / Symbols used: Q11896 / rank
			Normal rank
		Property / Symbols used: Q11896 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\alpha}}$ \alpha
		Property / Symbols used: Q11896 / qualifier
			xml-id: C19.S29.XMD5.m1edec
		Property / Symbols used
			Q11897
		Property / Symbols used: Q11897 / rank
			Normal rank
		Property / Symbols used: Q11897 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\beta}}$ \beta
		Property / Symbols used: Q11897 / qualifier
			xml-id: C19.S29.XMD6.m1cdec
		Property / Symbols used
			Q11902
		Property / Symbols used: Q11902 / rank
			Normal rank
		Property / Symbols used: Q11902 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\gamma}}$ \gamma
		Property / Symbols used: Q11902 / qualifier
			xml-id: C19.S29.XMD7.m1bdec
		Property / Symbols used
			Q11903
		Property / Symbols used: Q11903 / rank
			Normal rank
		Property / Symbols used: Q11903 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\delta}}$ \delta
		Property / Symbols used: Q11903 / qualifier
			xml-id: C19.S29.XMD8.m1bdec

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Latest revision as of 14:19, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.29.E7	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\int_{y}^{x}\frac{a_{\alpha}+b_{\alpha}t}{a_{\delta}+b_{\delta}t}\frac{\mathrm{d}t}{s(t)}=\tfrac{2}{3}d_{\alpha\beta}d_{\alpha\gamma}R_{D}\left(U_{\alpha\beta}^{2},U_{\alpha\gamma}^{2},U_{\alpha\delta}^{2}\right)+\frac{2X_{\alpha}Y_{\alpha}}{X_{\delta}Y_{\delta}U_{\alpha\delta}},}}$

0 references

DLMF id

DLMF:19.29.E7

0 references

constraint

${\displaystyle{\displaystyle U_{\alpha\delta}\neq 0}}$

0 references

Symbols used

elliptic integral symmetric in only two variables

Defining formula

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

xml-id

C19.S16.E5.m2adec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1aadec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3aadec

0 references

Q11900

Defining formula

${\displaystyle{\displaystyle X_{\alpha}}}$

xml-id

C19.S29.XMD1.m1cdec

0 references

Q11899

Defining formula

${\displaystyle{\displaystyle U_{n}}}$

xml-id

C19.S29.XMD10.m1cdec

0 references

Q11901

Defining formula

${\displaystyle{\displaystyle Y_{\alpha}}}$

xml-id

C19.S29.XMD2.m1cdec

0 references

Q11895

Defining formula

${\displaystyle{\displaystyle d_{\alpha\beta}}}$

xml-id

C19.S29.XMD3.m1bdec

0 references

Q11898

Defining formula

${\displaystyle{\displaystyle s(t)}}$

xml-id

C19.S29.XMD4.m1bdec

0 references

Q11896

Defining formula

${\displaystyle{\displaystyle\alpha}}$

xml-id

C19.S29.XMD5.m1edec

0 references

Q11897

Defining formula

${\displaystyle{\displaystyle\beta}}$

xml-id

C19.S29.XMD6.m1cdec

0 references

Q11902

Defining formula

${\displaystyle{\displaystyle\gamma}}$

xml-id

C19.S29.XMD7.m1bdec

0 references

Q11903

Defining formula

${\displaystyle{\displaystyle\delta}}$

xml-id

C19.S29.XMD8.m1bdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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