A second type of higher order generalized geometric polynomials and higher order generalized Euler polynomials
Quaestiones Mathematicae, cilt.45, sa.1, ss.71-89, 2022 (SCI-Expanded, Scopus)
- 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
- Akdeniz Üniversitesi Adresli: Evet
Özet
© 2020 NISC (Pty) Ltd.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, α, β, γ) [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.