@@ Property / Symbols used @@
+Q12188
@@ Property / Symbols used: Q12188 / rank @@
+Normal rank
@@ Property / Symbols used: Q12188 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle p_{\NVar{k}}\left(\NVar{n}\right)}}$ 
\npartitions[\NVar{k}]@{\NVar{n}}
@@ Property / Symbols used: Q12188 / qualifier @@
+xml-id: C26.S9.SS1.p1.m4addec
@@ Property / Symbols used @@
+$$q$$ -binomial coefficient (or Gaussian polynomial)
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar% {q}}}}$ 
\qbinom{\NVar{n}}{\NVar{m}}{\NVar{q}}
+xml-id: C17.S2.E27.m2aadec
@@ Property / Symbols used @@
+Q12176
@@ Property / Symbols used: Q12176 / rank @@
+Normal rank
@@ Property / Symbols used: Q12176 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle j}}$ 
j
@@ Property / Symbols used: Q12176 / qualifier @@
+xml-id: C26.S1.XMD3.m1adec
@@ Property / Symbols used @@
+Q12174
@@ Property / Symbols used: Q12174 / rank @@
+Normal rank
@@ Property / Symbols used: Q12174 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q12174 / qualifier @@
+xml-id: C26.S1.XMD4.m1bdec
@@ Property / Symbols used @@
+Q12171
@@ Property / Symbols used: Q12171 / rank @@
+Normal rank
@@ Property / Symbols used: Q12171 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q12171 / qualifier @@
+xml-id: C26.S1.XMD5.m1adec
@@ Property / Symbols used @@
+Q12172
@@ Property / Symbols used: Q12172 / rank @@
+Normal rank
@@ Property / Symbols used: Q12172 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q12172 / qualifier @@
+xml-id: C26.S1.XMD6.m1edec
@@ Property / Symbols used @@
+Q12189
@@ Property / Symbols used: Q12189 / rank @@
+Normal rank
@@ Property / Symbols used: Q12189 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle q}}$ 
q
@@ Property / Symbols used: Q12189 / qualifier @@
+xml-id: C26.S9.XMD1.m1adec

DLMF:26.9.E5 (Q7878): Difference between revisions

p k ⁡ ( n ) partition-function-at-most 𝑘 𝑛 {\displaystyle{\displaystyle p_{\NVar{k}}\left(\NVar{n}\right)}}

[ n m ] q q-binomial 𝑛 𝑚 𝑞 {\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar% {q}}}}

j 𝑗 {\displaystyle{\displaystyle j}}

k 𝑘 {\displaystyle{\displaystyle k}}

m 𝑚 {\displaystyle{\displaystyle m}}

n 𝑛 {\displaystyle{\displaystyle n}}

q 𝑞 {\displaystyle{\displaystyle q}}

Latest revision as of 13:58, 2 January 2020

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${\displaystyle{\displaystyle p_{\NVar{k}}\left(\NVar{n}\right)}}$

${\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar% {q}}}}$

${\displaystyle{\displaystyle j}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle q}}$