On Boole-type combinatorial numbers and polynomials | Zendy

Yılmaz Şimşek | Zendy

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On 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.

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