Open AccessIdentities and relations for special numbers and polynomials: An approach to trigonometric functions
Author(s) -
Neslıhan Kilar,
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/fil2002535k
Subject(s) - mathematics , stirling number , stirling numbers of the first kind , bernoulli number , proofs of trigonometric identities , stirling numbers of the second kind , orthogonal polynomials , wilson polynomials , discrete orthogonal polynomials , classical orthogonal polynomials , algebra over a field , bernoulli polynomials , difference polynomials , integration using euler's formula , hahn polynomials , recurrence relation , euler's formula , pure mathematics , discrete mathematics , combinatorics , gegenbauer polynomials , polynomial , mathematical analysis , linear interpolation , bicubic interpolation
In this paper, by using trigonometric functions and generating functions, identities and relations associated with special numbers and polynomials are derived. Relations among the combinatorial numbers, the Bernoulli polynomials, the Euler numbers, the Stirling numbers and others special numbers and polynomials are given.