DLMF:17.6.E26 (Q5393): Difference between revisions

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Revision as of 15:00, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:00, 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
			Q11718
		Property / Symbols used: Q11718 / rank
			Normal rank
		Property / Symbols used: Q11718 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11718 / qualifier
			xml-id: C17.S1.XMD7.m1sdec
		Property / Symbols used
			$$q$$ -differential operator (locally)
		Property / Symbols used: $$q$$ -differential operator (locally) / rank
			Normal rank
		Property / Symbols used: $$q$$ -differential operator (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathcal{D}_{q}}}$ \mathcal{D}_{q}
		Property / Symbols used: $$q$$ -differential operator (locally) / qualifier
			xml-id: C17.S2.XMD1.m1adec

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Latest revision as of 15:00, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:17.6.E26	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathcal{D}_{q}^{n}\left(\frac{\left(z;q\right)_{\infty}}{\left(abz/c;q\right)_{\infty}}{{}_{2}\phi_{1}}\left({a,b\atop c};q,z\right)\right)=\frac{\left(c/a,c/b;q\right)_{n}}{\left(c;q\right)_{n}(1-q)^{n}}\left(\frac{ab}{c}\right)^{n}\frac{\left(zq^{n};q\right)_{\infty}}{\left(abz/c;q\right)_{\infty}}{{}_{2}\phi_{1}}\left({a,b\atop cq^{n}};q,zq^{n}\right).}}$

0 references

DLMF id

DLMF:17.6.E26

0 references

Symbols used

Q11298

Defining formula

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

xml-id

C17.S2.SS1.p1.m2ajdec

0 references

basic hypergeometric (or $$q$$ -hypergeometric) function

Defining formula

${\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},\dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}$

xml-id

C17.S4.E1.m2aydec

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.m6andec

0 references

Q11710

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C17.S1.XMD10.m1ydec

0 references

Q11711

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C17.S1.XMD4.m1hdec

0 references

Q11718

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C17.S1.XMD7.m1sdec

0 references

$$q$$ -differential operator (locally)

Defining formula

${\displaystyle{\displaystyle\mathcal{D}_{q}}}$

xml-id

C17.S2.XMD1.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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