DLMF:17.2.E31 (Q5321)

From testwiki
Revision as of 13:49, 2 January 2020 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:17.2.E31
No description defined

    Statements

    test
    [ n m ] q = [ n - 1 m - 1 ] q + q m ⁢ [ n - 1 m ] q , q-binomial 𝑛 𝑚 𝑞 q-binomial 𝑛 1 𝑚 1 𝑞 superscript 𝑞 𝑚 q-binomial 𝑛 1 𝑚 𝑞 {\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{n}{m}_{q}=\genfrac{[}{]}{0% .0pt}{}{n-1}{m-1}_{q}+q^{m}\genfrac{[}{]}{0.0pt}{}{n-1}{m}_{q},}}
    0 references
    DLMF id
    DLMF:17.2.E31
    0 references
    Symbols used
    $$q$$ -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.m2addec
    0 references
    Q11710
    test
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1addec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q5321&oldid=30663"