DLMF:17.13.E1 (Q5466): Difference between revisions

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Revision as of 15:10, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:10, 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
			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.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.m1dec

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Latest revision as of 15:10, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:17.13.E1	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\int_{-c}^{d}\frac{\left(-qx/c;q\right)_{\infty}\left(qx/d;q\right)_{\infty}}{\left(-ax/c;q\right)_{\infty}\left(bx/d;q\right)_{\infty}}{\mathrm{d}}_{q}x=\frac{(1-q)\left(q;q\right)_{\infty}\left(ab;q\right)_{\infty}cd\left(-c/d;q\right)_{\infty}\left(-d/c;q\right)_{\infty}}{\left(a;q\right)_{\infty}\left(b;q\right)_{\infty}(c+d)\left(-bc/d;q\right)_{\infty}\left(-ad/c;q\right)_{\infty}},}}$

0 references

DLMF id

DLMF:17.13.E1

0 references

Symbols used

Q10771

Defining formula

${\displaystyle{\displaystyle\int}}$

xml-id

C1.S4.SS4.m3adec

0 references

Q11298

Defining formula

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

xml-id

C17.S2.SS1.p1.m2adec

0 references

Q11299

Defining formula

${\displaystyle{\displaystyle{\mathrm{d}}_{\NVar{q}}\NVar{x}}}$

xml-id

C17.S2.SS5.p1.m3adec

0 references

Q11710

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C17.S1.XMD10.m1dec

0 references

Q11719

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C17.S1.XMD8.m1dec

0 references

 

Sitelinks

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