On Boole-Type Combinatorial Numbers and Polynomials

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ŞİMŞEK Y.

FILOMAT, cilt.34, sa.2, ss.559-565, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2298/fil2002559s
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.559-565
  • Anahtar Kelimeler: Functional equation, Generating functions, Binomial coefficient, Combinatorial numbers, Apostol-Bernoulli and Apostol-Euler polynomials, Stirling numbers, Cauchy numbers, Peters polynomials, Boole polynomials, Changhee numbers, Special numbers and polynomials, APOSTOL-TYPE NUMBERS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The aim of this paper is to construct generating functions for Boole-type combinatorial numbers and polynomials. Using these generating functions, we derive not only fundamental properties of these numbers and polynomials, but also some identities and formulas. Finally, we present a brief historical remarks and observations on our generating functions and Peters and Boole-type numbers and polynomials.