On Generating Functions for Boole Type Polynomials and Numbers of Higher Order and Their Applications

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ŞİMŞEK Y., So J. S.

SYMMETRY-BASEL, cilt.11, sa.3, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/sym11030352
  • Dergi Adı: SYMMETRY-BASEL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Apostol-Euler polynomials and numbers, Peters polynomials and numbers, Boole polynomials and numbers, Stirling numbers, Daehee numbers, generating functions, Changheenumbers and polynomials, APOSTOL-TYPE NUMBERS, BERNOULLI
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The purpose of this manuscript is to study and investigate generating functions for Boole type polynomials and numbers of higher order. With the help of these generating functions, many properties of Boole type polynomials and numbers are presented. By applications of partial derivative and functional equations for these functions, derivative formulas, recurrence relations and finite combinatorial sums involving the Apostol-Euler polynomials, the Stirling numbers and the Daehee numbers are given.