DLMF:17.11.E2 (Q5454): Difference between revisions

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Revision as of 16:00, 29 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation		Latest revision as of 15:09, 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
			Q10759
		Property / Symbols used: Q10759 / rank
			Normal rank
		Property / Symbols used: Q10759 / qualifier
			Defining formula: ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$ \Pochhammersym{\NVar{a}}{\NVar{n}}
		Property / Symbols used: Q10759 / qualifier
			xml-id: C5.S2.SS3.m1adec
		Property / Symbols used
			second $$q$$ -Appell function
		Property / Symbols used: second $$q$$ -Appell function / rank
			Normal rank
		Property / Symbols used: second $$q$$ -Appell function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\Phi^{(2)}\left(\NVar{a};\NVar{b},\NVar{b^{\prime}};\NVar{c},\NVar{c}{missing}{missing}{missing};missing;missing,missing\right)\)\@add@PDF@RDFa@triples\end{document}}}$ \qAppellPhi{2}@{\NVar{a}}{\NVar{b}}{\NVar{b^{\prime}}}{\NVar{c}}{\NVar{c^{% \prime}}}{\NVar{q}}{\NVar{x}}{\NVar{y}}
		Property / Symbols used: second $$q$$ -Appell function / qualifier
			xml-id: C17.S4.E6.m2adec
		Property / Symbols used
			Q11298
		Property / Symbols used: Q11298 / rank
			Normal rank
		Property / Symbols used: Q11298 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}$ \qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}
		Property / Symbols used: Q11298 / qualifier
			xml-id: C17.S2.SS1.p1.m2adec
		Property / Symbols used
			Q11713
		Property / Symbols used: Q11713 / rank
			Normal rank
		Property / Symbols used: Q11713 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}\right)_{\NVar{n}}}}$ \qmultiPochhammersym{\NVar{a_{1},a_{2},\dots,a_{r}}}{\NVar{q}}{\NVar{n}}
		Property / Symbols used: Q11713 / qualifier
			xml-id: C17.S2.SS1.p1.m6aadec
		Property / Symbols used
			Q11710
		Property / Symbols used: Q11710 / rank
			Normal rank
		Property / Symbols used: Q11710 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q}}$ q
		Property / Symbols used: Q11710 / qualifier
			xml-id: C17.S1.XMD10.m1adec
		Property / Symbols used
			Q11711
		Property / Symbols used: Q11711 / rank
			Normal rank
		Property / Symbols used: Q11711 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11711 / qualifier
			xml-id: C17.S1.XMD4.m1dec
		Property / Symbols used
			Q11714
		Property / Symbols used: Q11714 / rank
			Normal rank
		Property / Symbols used: Q11714 / qualifier
			Defining formula: ${\displaystyle{\displaystyle r}}$ r
		Property / Symbols used: Q11714 / qualifier
			xml-id: C17.S1.XMD5.m1dec
		Property / Symbols used
			Q11719
		Property / Symbols used: Q11719 / rank
			Normal rank
		Property / Symbols used: Q11719 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11719 / qualifier
			xml-id: C17.S1.XMD8.m1adec
		Property / Symbols used
			Q11720
		Property / Symbols used: Q11720 / rank
			Normal rank
		Property / Symbols used: Q11720 / qualifier
			Defining formula: ${\displaystyle{\displaystyle y}}$ y
		Property / Symbols used: Q11720 / qualifier
			xml-id: C17.S1.XMD9.m1adec

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Latest revision as of 15:09, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:17.11.E2	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\Phi^{(2)}\left(a;b,b^{\prime};c,c^{\prime};q;x,y\right)=\frac{\left(b,ax;q\right)_{\infty}}{\left(c,x;q\right)_{\infty}}\sum_{n,r\geqq 0}\frac{\left(a,b^{\prime};q\right)_{n}\left(c/b,x;q\right)_{r}b^{r}y^{n}}{\left(q,c^{\prime};q\right)_{n}{\left(q\right)_{r}}\left(ax;q\right)_{n+r}},}}$

0 references

DLMF id

DLMF:17.11.E2

0 references

Symbols used

Q10759

Defining formula

${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$

xml-id

C5.S2.SS3.m1adec

0 references

second $$q$$ -Appell function

Defining formula

${\displaystyle{\displaystyle\Phi^{(2)}\left(\NVar{a};\NVar{b},\NVar{b^{\prime}};\NVar{c},\NVar{c}{missing}{missing}{missing};missing;missing,missing\right)\)\@add@PDF@RDFa@triples\end{document}}}$

xml-id

C17.S4.E6.m2adec

0 references

Q11298

Defining formula

${\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}$

xml-id

C17.S2.SS1.p1.m2adec

0 references

Q11713

Defining formula

${\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}\right)_{\NVar{n}}}}$

xml-id

C17.S2.SS1.p1.m6aadec

0 references

Q11710

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C17.S1.XMD10.m1adec

0 references

Q11711

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C17.S1.XMD4.m1dec

0 references

Q11714

Defining formula

${\displaystyle{\displaystyle r}}$

xml-id

C17.S1.XMD5.m1dec

0 references

Q11719

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C17.S1.XMD8.m1adec

0 references

Q11720

Defining formula

${\displaystyle{\displaystyle y}}$

xml-id

C17.S1.XMD9.m1adec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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