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Formulas and relations for Bernoulli-type numbers and polynomials derive from Bessel function

Yilmaz Simsek|Selin Selen Ozbek Simsek
대한수학회 (The Korean Mathematical Society)|2023.10|대한수학회논문집 (Communications of the KMS)|제38권 제4호|pp. 1175-1189|DOI 10.4134/CKMS.c230045

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참고문헌

키워드

Bernoulli numbers and polynomialsEuler numbers and polynomialsBessel functionsEuler gamma functions
주제분류수학

초록

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.

Abstract

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.

참고문헌 (21)

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