Remarks and some Formulas Associated with Combinatorial Numbers

ŞİMŞEK Y.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 13 - 18 Eylül 2018, cilt.2116 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2116
  • Doi Numarası: 10.1063/1.5114078
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Changhee and Daehee numbers, combinatorial sum, generating function, recurrence formula, special numbers and polynomials, p-adic integral, APOSTOL-TYPE NUMBERS, POLYNOMIALS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In "Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals Turk J Math (2018) 42: 557-577", we defined some new families of numbers and polynomials related to the Dirichlet character of a finite abelian group. In this paper, we investigate some properties and relations for these numbers and polynomials with their series representations and generating functions. By using functional equations of generating functions with their differential equations and series representations of these numbers and polynomials, we derive some formulas including recurrence relations, combinatorial numbers, combinatorial sums and special numbers and polynomials. By using p-adic integral method, we also derive p-adic series representations of these series representations of these numbers and polynomials.