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Formulas and relations for Bernoulli-type numbers and polynomials derive from Bessel function
Selin Selen Ozbek Simsek,Yilmaz Simsek 대한수학회 2023 대한수학회논문집 Vol.38 No.4
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 Fa \`{a} 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.