Open AccessOn Boole-type combinatorial numbers and polynomials
Author(s) -
Yılmaz Şimşek
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2002559s
Subject(s) - mathematics , type (biology) , orthogonal polynomials , discrete orthogonal polynomials , combinatorics , classical orthogonal polynomials , generating function , wilson polynomials , difference polynomials , discrete mathematics , algebra over a field , pure mathematics , ecology , biology
The aim of this paper is to construct generating functions for Boole-type combinatorial numbers and polynomials. Using these generating functions, we derive not only fundamental properties of these numbers and polynomials, but also some identities and formulas. Finally, we present a brief historical remarks and observations on our generating functions and Peters and Boole-type numbers and polynomials.