DLMF:17.2.E40 (Q5330): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older edit
imported>Admin
imported>Admin
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11710 / rank
 
Normal rank
Property / Symbols used: Q11710 / qualifier
 
test:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q11710 / qualifier
 
xml-id: C17.S1.XMD10.m1aldec
Property / Symbols used
 
Property / Symbols used: Q11712 / rank
 
Normal rank
Property / Symbols used: Q11712 / qualifier
 
test:

j 𝑗 {\displaystyle{\displaystyle j}}

j
Property / Symbols used: Q11712 / qualifier
 
xml-id: C17.S1.XMD2.m1hdec
Property / Symbols used
 
Property / Symbols used: Q11711 / rank
 
Normal rank
Property / Symbols used: Q11711 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11711 / qualifier
 
xml-id: C17.S1.XMD4.m1ajdec

Latest revision as of 13:51, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:17.2.E40
No description defined

    Statements

    test
    ∑ j = 0 2 ⁢ n ( - 1 ) j ⁢ [ 2 ⁢ n j ] q = ( q ; q 2 ) n . superscript subscript 𝑗 0 2 𝑛 superscript 1 𝑗 q-binomial 2 𝑛 𝑗 𝑞 q-Pochhammer-symbol 𝑞 superscript 𝑞 2 𝑛 {\displaystyle{\displaystyle\sum_{j=0}^{2n}(-1)^{j}\genfrac{[}{]}{0.0pt}{}{2n}% {j}_{q}=\left(q;q^{2}\right)_{n}.}}
    0 references
    DLMF id
    DLMF:17.2.E40
    0 references
    Symbols used
    Q11298
    test
    ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
    xml-id
    C17.S2.SS1.p1.m2aahdec
    0 references
    $$q$$ -binomial coefficient (or Gaussian polynomial)
    test
    [ n m ] q q-binomial 𝑛 𝑚 𝑞 {\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar% {q}}}}
    xml-id
    C17.S2.E27.m2akdec
    0 references
    Q11710
    test
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1aldec
    0 references
    Q11712
    test
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C17.S1.XMD2.m1hdec
    0 references
    Q11711
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C17.S1.XMD4.m1ajdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q5330&oldid=30721"