DLMF:5.18.E4 (Q2191): Difference between revisions

Latest revision as of 01:10, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:5.18.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Gamma_{q}\left(z\right)=\left(q;q\right)_{\infty}% (1-q)^{1-z}/\left(q^{z};q\right)_{\infty},}}

0 references

DLMF id

DLMF:5.18.E4

0 references

Symbols defined

$$q$$ -gamma function

0 references

Symbols used

Q11298

Defining formula

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

xml-id

C17.S2.SS1.p1.m2acdec

0 references

Q11280

Defining formula

{\displaystyle{\displaystyle q}}

xml-id

C5.S1.XMD10.m1cdec

0 references

Q11273

Defining formula

{\displaystyle{\displaystyle z}}

xml-id

C5.S1.XMD7.m1dec

0 references

@@ Property / Symbols defined @@
+$$q$$ -gamma function
@@ Property / Symbols defined: $$q$$ -gamma function / rank @@
+Normal rank
@@ 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.m2acdec
@@ Property / Symbols used @@
+Q11280
@@ Property / Symbols used: Q11280 / rank @@
+Normal rank
@@ Property / Symbols used: Q11280 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle q}}$ 
q
@@ Property / Symbols used: Q11280 / qualifier @@
+xml-id: C5.S1.XMD10.m1cdec
@@ Property / Symbols used @@
+Q11273
@@ Property / Symbols used: Q11273 / rank @@
+Normal rank
@@ Property / Symbols used: Q11273 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11273 / qualifier @@
+xml-id: C5.S1.XMD7.m1dec

DLMF:5.18.E4 (Q2191): Difference between revisions

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

${\displaystyle{\displaystyle q}}$

${\displaystyle{\displaystyle z}}$

Latest revision as of 01:10, 2 January 2020

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DLMF:5.18.E4 (Q2191): Difference between revisions

( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

q 𝑞 {\displaystyle{\displaystyle q}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 01:10, 2 January 2020

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

${\displaystyle{\displaystyle q}}$

${\displaystyle{\displaystyle z}}$