Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions

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ŞİMŞEK Y., Kim D.

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2018, 2018 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2018
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1186/s13660-018-1815-7
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Apostol-Bernoulli numbers and polynomials, Bernoulli numbers and polynomials, Special numbers and polynomials, Generating functions, BERNOULLI, EULER, ZETA
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The aim of this is to give generating functions for new families of special numbers and polynomials of higher order. By using these generating functions and their functional equations, we derive identities and relations for these numbers and polynomials. Relations between these new families of special numbers and polynomials and Bernoulli numbers and polynomials are given. Finally, recurrence relations and derivative formulas, which are related to these numbers and polynomials, are given.