DLMF:16.4.E15 (Q5209): Difference between revisions

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Revision as of 14:32, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:32, 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
			Q11125
		Property / Symbols used: Q11125 / rank
			Normal rank
		Property / Symbols used: Q11125 / qualifier
			Defining formula: ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}$ \genhyperF{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{z}}
		Property / Symbols used: Q11125 / qualifier
			xml-id: C16.S2.m1aldec
		Property / Symbols used
			Q11695
		Property / Symbols used: Q11695 / rank
			Normal rank
		Property / Symbols used: Q11695 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a}}$ a
		Property / Symbols used: Q11695 / qualifier
			xml-id: C16.S4.XMD1.m1ddec
		Property / Symbols used
			Q11696
		Property / Symbols used: Q11696 / rank
			Normal rank
		Property / Symbols used: Q11696 / qualifier
			Defining formula: ${\displaystyle{\displaystyle b}}$ b
		Property / Symbols used: Q11696 / qualifier
			xml-id: C16.S4.XMD2.m1ddec
		Property / Symbols used
			Q11697
		Property / Symbols used: Q11697 / rank
			Normal rank
		Property / Symbols used: Q11697 / qualifier
			Defining formula: ${\displaystyle{\displaystyle c}}$ c
		Property / Symbols used: Q11697 / qualifier
			xml-id: C16.S4.XMD3.m1ddec
		Property / Symbols used
			Q11698
		Property / Symbols used: Q11698 / rank
			Normal rank
		Property / Symbols used: Q11698 / qualifier
			Defining formula: ${\displaystyle{\displaystyle d}}$ d
		Property / Symbols used: Q11698 / qualifier
			xml-id: C16.S4.XMD4.m1ddec
		Property / Symbols used
			Q11699
		Property / Symbols used: Q11699 / rank
			Normal rank
		Property / Symbols used: Q11699 / qualifier
			Defining formula: ${\displaystyle{\displaystyle e}}$ e
		Property / Symbols used: Q11699 / qualifier
			xml-id: C16.S4.XMD5.m1ddec

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Latest revision as of 14:32, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:16.4.E15	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{{}_{7}F_{6}}\left({a,\frac{1}{2}a+1,b,c,d,e,f\atop\frac{1}{2}a,a-b+1,a-c+1,a-d+1,a-e+1,a-f+1};1\right)=\frac{\Gamma\left(a-d+1\right)\Gamma\left(a-e+1\right)\Gamma\left(a-f+1\right)\Gamma\left(a-d-e-f+1\right)}{\Gamma\left(a+1\right)\Gamma\left(a-d-e+1\right)\Gamma\left(a-d-f+1\right)\Gamma\left(a-e-f+1\right)}{{}_{4}F_{3}}\left({a-b-c+1,d,e,f\atop a-b+1,a-c+1,d+e+f-a};1\right),}}$

0 references

DLMF id

DLMF:16.4.E15

0 references

Symbols used

gamma function

Defining formula

${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

xml-id

C5.S2.E1.m2afdec

0 references

Q11125

Defining formula

${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}$

xml-id

C16.S2.m1aldec

0 references

Q11695

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C16.S4.XMD1.m1ddec

0 references

Q11696

Defining formula

${\displaystyle{\displaystyle b}}$

xml-id

C16.S4.XMD2.m1ddec

0 references

Q11697

Defining formula

${\displaystyle{\displaystyle c}}$

xml-id

C16.S4.XMD3.m1ddec

0 references

Q11698

Defining formula

${\displaystyle{\displaystyle d}}$

xml-id

C16.S4.XMD4.m1ddec

0 references

Q11699

Defining formula

${\displaystyle{\displaystyle e}}$

xml-id

C16.S4.XMD5.m1ddec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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