z-logo
Premium
Sequences of Symmetric Functions of Binomial Type
Author(s) -
loeb Daniel E.
Publication year - 1990
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm19908311
Subject(s) - mathematics , binomial coefficient , binomial (polynomial) , gaussian binomial coefficient , sequence (biology) , type (biology) , binomial theorem , binomial approximation , operator (biology) , negative binomial distribution , binomial distribution , context (archaeology) , symmetric function , identity (music) , combinatorics , generating function , central binomial coefficient , discrete mathematics , pure mathematics , statistics , poisson distribution , physics , biology , ecology , paleontology , biochemistry , chemistry , repressor , gene , transcription factor , acoustics , genetics
We take advantage of the combinatorial interpretations of many sequences of polynomials of binomial type to define a sequence of symmetric functions corresponding to each sequence of polynomials of binomial type. We derive many of the results of umbra! calculus in this context, including a Taylor expansion and a binomial identity for symmetric functions. Surprisingly, the delta operators for all the sequences of binomial type correspond to the same operator on symmetric functions.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here