DLMF:31.2.E6 (Q8986): Difference between revisions

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Revision as of 13:26, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:26, 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
			sine function
		Property / Symbols used: sine function / rank
			Normal rank
		Property / Symbols used: sine function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sin\NVar{z}}}$ \sin@@{\NVar{z}}
		Property / Symbols used: sine function / qualifier
			xml-id: C4.S14.E1.m2aadec
		Property / Symbols used
			tangent function
		Property / Symbols used: tangent function / rank
			Normal rank
		Property / Symbols used: tangent function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\tan\NVar{z}}}$ \tan@@{\NVar{z}}
		Property / Symbols used: tangent function / qualifier
			xml-id: C4.S14.E4.m2adec
		Property / Symbols used
			Q12458
		Property / Symbols used: Q12458 / rank
			Normal rank
		Property / Symbols used: Q12458 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\gamma}}$ \gamma
		Property / Symbols used: Q12458 / qualifier
			xml-id: C31.S1.XMD10.m1cdec
		Property / Symbols used
			Q12459
		Property / Symbols used: Q12459 / rank
			Normal rank
		Property / Symbols used: Q12459 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\delta}}$ \delta
		Property / Symbols used: Q12459 / qualifier
			xml-id: C31.S1.XMD11.m1cdec
		Property / Symbols used
			Q12460
		Property / Symbols used: Q12460 / rank
			Normal rank
		Property / Symbols used: Q12460 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\epsilon}}$ \epsilon
		Property / Symbols used: Q12460 / qualifier
			xml-id: C31.S1.XMD12.m1cdec
		Property / Symbols used
			Q12461
		Property / Symbols used: Q12461 / rank
			Normal rank
		Property / Symbols used: Q12461 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a}}$ a
		Property / Symbols used: Q12461 / qualifier
			xml-id: C31.S1.XMD6.m1ddec
		Property / Symbols used
			Q12462
		Property / Symbols used: Q12462 / rank
			Normal rank
		Property / Symbols used: Q12462 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q}}$ q
		Property / Symbols used: Q12462 / qualifier
			xml-id: C31.S1.XMD7.m1bdec
		Property / Symbols used
			Q12463
		Property / Symbols used: Q12463 / rank
			Normal rank
		Property / Symbols used: Q12463 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\alpha}}$ \alpha
		Property / Symbols used: Q12463 / qualifier
			xml-id: C31.S1.XMD8.m1bdec
		Property / Symbols used
			Q12464
		Property / Symbols used: Q12464 / rank
			Normal rank
		Property / Symbols used: Q12464 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\beta}}$ \beta
		Property / Symbols used: Q12464 / qualifier
			xml-id: C31.S1.XMD9.m1bdec

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Latest revision as of 13:26, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:31.2.E6	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}\theta}^{2}}+\left({(2\gamma-1)\cot\theta-(2\delta-1)\tan\theta}-\frac{\epsilon\sin\left(2\theta\right)}{a-{\sin^{2}}\theta}\right)\frac{\mathrm{d}w}{\mathrm{d}\theta}+4\frac{\alpha\beta{\sin^{2}}\theta-q}{a-{\sin^{2}}\theta}w=0.}}$

0 references

DLMF id

DLMF:31.2.E6

0 references

Symbols used

cotangent function

Defining formula

${\displaystyle{\displaystyle\cot\NVar{z}}}$

xml-id

C4.S14.E7.m2adec

0 references

derivative of $$f$$ with respect to $$x$$

Defining formula

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

xml-id

C1.S4.E4.m2abdec

0 references

sine function

Defining formula

${\displaystyle{\displaystyle\sin\NVar{z}}}$

xml-id

C4.S14.E1.m2aadec

0 references

tangent function

Defining formula

${\displaystyle{\displaystyle\tan\NVar{z}}}$

xml-id

C4.S14.E4.m2adec

0 references

Q12458

Defining formula

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

xml-id

C31.S1.XMD10.m1cdec

0 references

Q12459

Defining formula

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

xml-id

C31.S1.XMD11.m1cdec

0 references

Q12460

Defining formula

${\displaystyle{\displaystyle\epsilon}}$

xml-id

C31.S1.XMD12.m1cdec

0 references

Q12461

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C31.S1.XMD6.m1ddec

0 references

Q12462

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C31.S1.XMD7.m1bdec

0 references

Q12463

Defining formula

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

xml-id

C31.S1.XMD8.m1bdec

0 references

Q12464

Defining formula

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

xml-id

C31.S1.XMD9.m1bdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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