DLMF:13.20.E14 (Q4603): Difference between revisions

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Revision as of 16:15, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 16:15, 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
			Q10816
		Property / Symbols used: Q10816 / rank
			Normal rank
		Property / Symbols used: Q10816 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$ \atan@@{\NVar{z}}
		Property / Symbols used: Q10816 / qualifier
			xml-id: C4.S23.SS2.p1.m7adec
		Property / Symbols used
			Q11566
		Property / Symbols used: Q11566 / rank
			Normal rank
		Property / Symbols used: Q11566 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11566 / qualifier
			xml-id: C13.S1.XMD4.m1kdec
		Property / Symbols used
			DLMF:13.20.E6
		Property / Symbols used: DLMF:13.20.E6 / rank
			Normal rank
		Property / Symbols used: DLMF:13.20.E6 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\alpha}}$ \alpha
		Property / Symbols used: DLMF:13.20.E6 / qualifier
			xml-id: C13.S20.XMD2.m1cdec
		Property / Symbols used
			DLMF:13.20.E7
		Property / Symbols used: DLMF:13.20.E7 / rank
			Normal rank
		Property / Symbols used: DLMF:13.20.E7 / qualifier
			Defining formula: ${\displaystyle{\displaystyle X}}$ X
		Property / Symbols used: DLMF:13.20.E7 / qualifier
			xml-id: C13.S20.XMD3.m1cdec

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Latest revision as of 16:15, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:13.20.E14	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\zeta\sqrt{\alpha^{2}-\zeta^{2}}+\alpha^{2}\operatorname{arcsin}\left(\frac{\zeta}{\alpha}\right)=\frac{X}{\mu}+\frac{2\kappa}{\mu}\operatorname{arctan}\left(\frac{x-2\kappa}{X}\right)-2\operatorname{arctan}\left(\frac{\kappa x-2\mu^{2}}{\mu X}\right),}}$

0 references

DLMF id

DLMF:13.20.E14

0 references

constraint

${\displaystyle{\displaystyle 2\kappa-2\sqrt{\kappa^{2}-\mu^{2}}\leq x\leq 2\kappa+2\sqrt{\kappa^{2}-\mu^{2}}}}$

0 references

Symbols used

Q11242

Defining formula

${\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}$

xml-id

C4.S23.SS2.p1.m5adec

0 references

Q10816

Defining formula

${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$

xml-id

C4.S23.SS2.p1.m7adec

0 references

Q11566

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C13.S1.XMD4.m1kdec

0 references

DLMF:13.20.E6

Defining formula

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

xml-id

C13.S20.XMD2.m1cdec

0 references

DLMF:13.20.E7

Defining formula

${\displaystyle{\displaystyle X}}$

xml-id

C13.S20.XMD3.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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