Formula:8674

Digital Library of Mathematical Functions ID 26.16.E1

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \qmultinomial{a_{1}+a_{2}+\cdots+a_{n}}{a_{1},a_{2},\ldots,a_{n}}{q}=\prod_{k=1}^{n-1}\qbinom{a_{k}+a_{k+1}+\cdots+a_{n}}{a_{k}}{q},}

Symbols List

• ${\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar{q}}}}$: $$q$$ -binomial coefficient (or Gaussian polynomial)
• ${\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{a_{1}}+\NVar{a_{2}}+\dots+\NVar{a_{n}}}{\NVar{a_{1}},\NVar{a_{2}},\ldots,\NVar{a_{n}}}_{\NVar{q}}}}$:
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle a_{j}}}$: numbers
• ${\displaystyle{\displaystyle q}}$: parameter
 

Resources that cite this formula

No records found.