Formulas and relations for bernoulli-type numbers and polynomials derıve from bessel function

[ X ]

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Korean Mathematical Society

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The main purpose of this paper is to give some new identities and properties related to Bernoulli type numbers and polynomials associated with the Bessel function of the first kind. We give symmetric properties of the Bernoulli type numbers and polynomials. Moreover, using generating functions and the Faà di Bruno’s formula, we derive some new formulas and relations related to not only these polynomials, but also the Bernoulli numbers and polynomials and the Euler numbers and polynomials.

Açıklama

Anahtar Kelimeler

Bernoulli numbers and polynomials, Bessel functions, Euler gamma functions, Euler numbers and polynomials

Kaynak

Communications of the Korean Mathematical Society

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

38

Sayı

4

Künye

Şimşek, S. S. Ö., Şimşek, Y. (2023). Formulas and relations for bernoulli-type numbers and polynomials derıve from bessel function. Communications of the Korean Mathematical Society. 38(4), 1175-1189.