q-Pochhammer symbol

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs q-shifted factorial
gptkbp:appearsIn Heine's basic hypergeometric series
gptkbp:definedIn (a;q)_n = (1-a)(1-aq)...(1-aq^{n-1})
gptkbp:field gptkb:mathematics
number theory
combinatorics
special functions
gptkbp:generalizes gptkb:Pochhammer_symbol
https://www.w3.org/2000/01/rdf-schema#label q-Pochhammer symbol
gptkbp:introduced gptkb:Eduard_Heine
gptkbp:notation (a;q)_n
gptkbp:parameter a
n
q
gptkbp:relatedTo gptkb:q-binomial_theorem
q-factorial
q-calculus
q-gamma function
gptkbp:usedIn q-series
basic hypergeometric series
gptkbp:bfsParent gptkb:Lambert_series
gptkbp:bfsLayer 5