Formulas for Calculating Numerical Values of Combinatorial Sums Involving Apostol-Bernoulli Numbers and Polynomials

GÜN D., ŞİMŞEK Y.

International Conference of Numerical Analysis and Applied Mathematics 2022, ICNAAM 2022, Heraklion, Greece, 19 - 25 September 2022, vol.3094, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • Volume: 3094
  • Doi Number: 10.1063/5.0210395
  • City: Heraklion
  • Country: Greece
  • Keywords: Bernoulli numbers and polynomials (of higher order), Combinatorial numbers, Generating functions, Stirling numbers
  • Akdeniz University Affiliated: Yes

Abstract

This study covers new formulas of combinatorial sums and the Bernoulli, Apostol-Bernoulli, and Stirling type numbers and polynomials. By implementing the generating functions method, these results can be found.