Sheffer sequences

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application enumerative combinatorics
umbral calculus
gptkbp:citation Sheffer, I. M. (1939). 'Some properties of polynomial sets of type zero.' Duke Mathematical Journal.
gptkbp:defines A sequence of polynomials {p_n(x)} such that p_0(x) is a nonzero constant and there exists a sequence {a_n} with p_n(x+1) = p_n(x) + a_n p_{n-1}(x)
gptkbp:field gptkb:mathematics
gptkbp:hasSubfield combinatorics
umbral calculus
https://www.w3.org/2000/01/rdf-schema#label Sheffer sequences
gptkbp:introduced gptkb:Isador_M._Sheffer
gptkbp:introducedIn 1939
gptkbp:namedAfter gptkb:Isador_M._Sheffer
gptkbp:property Sheffer sequences are polynomial sequences of binomial type
gptkbp:relatedTo Appell sequences
binomial type polynomials
gptkbp:bfsParent gptkb:Mary_Alice_Sheffer
gptkbp:bfsLayer 7