Communications of the Korean Mathematical Society (대한수학회논문집)

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FORMULAS AND RELATIONS FOR BERNOULLI-TYPE NUMBERS AND POLYNOMIALS DERIVE FROM BESSEL FUNCTION

  • Selin Selen Ozbek Simsek (School of Engineering and Natural Sciences Basic Sciences Department Altinbas University) ;
  • Yilmaz Simsek (Department of Mathematics Faculty of Science Akdeniz University)
  • Received : 2023.02.27
  • Accepted : 2023.05.31
  • Published : 2023.10.31
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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 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.

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References

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