DLMF:31.10.E9 (Q9060): 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
			cosine function
		Property / Symbols used: cosine function / rank
			Normal rank
		Property / Symbols used: cosine function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\cos\NVar{z}}}$ \cos@@{\NVar{z}}
		Property / Symbols used: cosine function / qualifier
			xml-id: C4.S14.E2.m2aadec
		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.m1ddec
		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.m1ddec
		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.m1ddec
		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
		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.m1ddec
		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.m1bdec
		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.m1bdec
		Property / Symbols used
			Q12497
		Property / Symbols used: Q12497 / rank
			Normal rank
		Property / Symbols used: Q12497 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sigma}}$ \sigma
		Property / Symbols used: Q12497 / qualifier
			xml-id: C31.S10.XMD8.m1dec

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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.E9	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathcal{K}(\theta,\phi)=P\begin{Bmatrix}0&1&\infty&\\ 0&\frac{1}{2}-\delta-\sigma&\alpha&{\cos^{2}}\theta\\ 1-\gamma&\frac{1}{2}-\epsilon+\sigma&\beta&\end{Bmatrix}\*P\begin{Bmatrix}0&1&\infty&\\ 0&0&-\frac{1}{2}+\delta+\sigma&{\cos^{2}}\phi\\ 1-\epsilon&1-\delta&-\frac{1}{2}+\epsilon-\sigma&\end{Bmatrix},}}$

0 references

DLMF id

DLMF:31.10.E9

0 references

Symbols used

Riemann’s $$P$$ -symbol for solutions of the generalized hypergeometric differential equation

Defining formula

${\displaystyle{\displaystyle P\NVar{\begin{Bmatrix}\alpha&\beta&\gamma&\\ a_{1}&b_{1}&c_{1}&z\\ a_{2}&b_{2}&c_{2}&\end{Bmatrix}}}}$

xml-id

C15.S11.E3.m2adec

0 references

cosine function

Defining formula

${\displaystyle{\displaystyle\cos\NVar{z}}}$

xml-id

C4.S14.E2.m2aadec

0 references

Q12458

Defining formula

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

xml-id

C31.S1.XMD10.m1ddec

0 references

Q12459

Defining formula

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

xml-id

C31.S1.XMD11.m1ddec

0 references

Q12460

Defining formula

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

xml-id

C31.S1.XMD12.m1ddec

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

kernel (locally)

Defining formula

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

xml-id

C31.S10.XMD4.m1ddec

0 references

Q12495

Defining formula

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

xml-id

C31.S10.XMD6.m1bdec

0 references

Q12496

Defining formula

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

xml-id

C31.S10.XMD7.m1bdec

0 references

Q12497

Defining formula

${\displaystyle{\displaystyle\sigma}}$

xml-id

C31.S10.XMD8.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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