DLMF:31.10.E8 (Q9059): Difference between revisions

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Revision as of 13:36, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:36, 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
			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
			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.m1adec
		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.m1adec
		Property / Symbols used
			kernel (locally)
		Property / Symbols used: kernel (locally) / rank
			Normal rank
		Property / Symbols used: kernel (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathcal{K}(z,t)}}$ \mathcal{K}(z,t)
		Property / Symbols used: kernel (locally) / qualifier
			xml-id: C31.S10.XMD4.m1cdec
		Property / Symbols used
			Q12495
		Property / Symbols used: Q12495 / rank
			Normal rank
		Property / Symbols used: Q12495 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\theta}}$ \theta
		Property / Symbols used: Q12495 / qualifier
			xml-id: C31.S10.XMD6.m1adec
		Property / Symbols used
			Q12496
		Property / Symbols used: Q12496 / rank
			Normal rank
		Property / Symbols used: Q12496 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\phi}}$ \phi
		Property / Symbols used: Q12496 / qualifier
			xml-id: C31.S10.XMD7.m1adec

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Latest revision as of 13:36, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:31.10.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{\sin^{2}}\theta\left(\frac{{\partial}^{2}\mathcal{K}}{{\partial\theta}^{2}}+\left((1-2\gamma)\tan\theta+2(\delta+\epsilon-\tfrac{1}{2})\cot\theta\right)\frac{\partial\mathcal{K}}{\partial\theta}-4\alpha\beta\mathcal{K}\right)+\frac{{\partial}^{2}\mathcal{K}}{{\partial\phi}^{2}}+\left((1-2\delta)\cot\phi-(1-2\epsilon)\tan\phi\right)\frac{\partial\mathcal{K}}{\partial\phi}=0.}}$

0 references

DLMF id

DLMF:31.10.E8

0 references

Symbols used

cotangent function

Defining formula

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

xml-id

C4.S14.E7.m2adec

0 references

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

Defining formula

${\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}$

xml-id

C1.S5.E3.m4abdec

0 references

partial differential of $$x$$

Defining formula

${\displaystyle{\displaystyle\partial\NVar{x}}}$

xml-id

C1.S5.E3.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

Q12463

Defining formula

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

xml-id

C31.S1.XMD8.m1adec

0 references

Q12464

Defining formula

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

xml-id

C31.S1.XMD9.m1adec

0 references

kernel (locally)

Defining formula

${\displaystyle{\displaystyle\mathcal{K}(z,t)}}$

xml-id

C31.S10.XMD4.m1cdec

0 references

Q12495

Defining formula

${\displaystyle{\displaystyle\theta}}$

xml-id

C31.S10.XMD6.m1adec

0 references

Q12496

Defining formula

${\displaystyle{\displaystyle\phi}}$

xml-id

C31.S10.XMD7.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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