Identities Related to Special Polynomials and Combinatorial Numbers

YÜLÜKLÜ E., ŞİMŞEK Y., Komatsu T.

FILOMAT, cilt.31, sa.15, ss.4833-4844, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 15
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1715833y
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4833-4844
  • Anahtar Kelimeler: Bernoulli numbers, Euler numbers, Array polynomials, Stirling numbers, Generating functions, Functional equation, Binomial coefficients, Combinatorial sum, GENERALIZED APOSTOL TYPE, EULER POLYNOMIALS, BERNOULLI NUMBERS, UMBRAL CALCULUS, Q-EXTENSIONS, SUMS, FAMILIES, FORMULAS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The aim of this paper is to give some new identities and relations related to the some families of special numbers such as the Bernoulli numbers, the Euler numbers, the Stirling numbers of the first and second kinds, the central factorial numbers and also the numbers y(1)(n, k; lambda) and y(2)(n, k; lambda) which are given Simsek [31]. Our method is related to the functional equations of the generating functions and the fermionic and bosonic p-adic Volkenborn integral on Z(p). Finally, we give remarks and comments on our results.