A second type of higher order generalized geometric polynomials and higher order generalized Euler polynomials

Corcino C. B., Corcino R. B., ÇEKİM B., KARGIN L., Nkonkobe S.

QUAESTIONES MATHEMATICAE, cilt.45, sa.1, ss.71-89, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2989/16073606.2020.1848937
  • Dergi Adı: QUAESTIONES MATHEMATICAE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.71-89
  • Anahtar Kelimeler: Preferential arrangement, barred preferential arrangement, geometric polynomial, Euler polynomials, GENERATING-FUNCTIONS, BERNOULLI, SERIES
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study we introduce a second type of higher order generalized geometric polynomials. This we achieve by examining the generalized stirling numbers S(n, k, alpha, beta, gamma) [Hsu and Shiue, 1998] for some negative arguments. We study their number theoretic properties, asymptotic properties, and their combinatorial properties using the notion of barred preferential arrangements. We also proposed a generalisation of the classical Euler polynomials and show how these generalized Euler polynomials are related to the second type of higher order generalized geometric polynomials.