@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|b|<1}}$ 
|b|<1
@@ Property / constraint: ${\displaystyle{\displaystyle|b|<1}}$ / 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.m2adec
@@ Property / Symbols used @@
+basic hypergeometric (or $$q$$ -hypergeometric) function
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}$ 
\qgenhyperphi{\NVar{r+1}}{\NVar{s}}@{\NVar{a_{0},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}
+xml-id: C17.S4.E1.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.m6adec
@@ 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

DLMF:17.7.E1 (Q5397): Difference between revisions

| b | < 1 𝑏 1 {\displaystyle{\displaystyle|b|<1}}

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

( a 1 , a 2 , … , a r ; q ) n q-multiple-Pochhammer subscript 𝑎 1 subscript 𝑎 2 … subscript 𝑎 𝑟 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}

q 𝑞 {\displaystyle{\displaystyle q}}

Latest revision as of 15:01, 2 January 2020

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${\displaystyle{\displaystyle|b|<1}}$

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

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

${\displaystyle{\displaystyle q}}$