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, Yunanistan, 19 - 25 Eylül 2022, cilt.3094, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 3094
  • Doi Numarası: 10.1063/5.0210395
  • Basıldığı Şehir: Heraklion
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Bernoulli numbers and polynomials (of higher order), Combinatorial numbers, Generating functions, Stirling numbers
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.