DLMF:31.10.E10 (Q9061): Difference between revisions

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Revision as of 13:37, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:37, 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
			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.m1edec
		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.m1adec

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Latest revision as of 13:37, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:31.10.E10	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathcal{K}(z,t)=(zt-a)^{\frac{1}{2}-\delta-\sigma}\*{{}_{2}F_{1}}\left({\frac{1}{2}-\delta-\sigma+\alpha,\frac{1}{2}-\delta-\sigma+\beta\atop\gamma};\frac{zt}{a}\right)\*{{}_{2}F_{1}}\left({-\frac{1}{2}+\delta+\sigma,-\frac{1}{2}+\epsilon-\sigma\atop\delta};\frac{a(z-1)(t-1)}{(a-1)(zt-a)}\right),}}$

0 references

DLMF id

DLMF:31.10.E10

0 references

Symbols used

Q11581

Defining formula

${\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}$

xml-id

C16.S2.m5adec

0 references

Q12457

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C31.S1.XMD1.m1ddec

0 references

Q12458

Defining formula

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

xml-id

C31.S1.XMD10.m1edec

0 references

Q12459

Defining formula

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

xml-id

C31.S1.XMD11.m1edec

0 references

Q12460

Defining formula

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

xml-id

C31.S1.XMD12.m1edec

0 references

Q12461

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C31.S1.XMD6.m1ddec

0 references

Q12463

Defining formula

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

xml-id

C31.S1.XMD8.m1cdec

0 references

Q12464

Defining formula

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

xml-id

C31.S1.XMD9.m1cdec

0 references

kernel (locally)

Defining formula

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

xml-id

C31.S10.XMD4.m1edec

0 references

Q12497

Defining formula

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

xml-id

C31.S10.XMD8.m1adec

0 references

 

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