Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, cilt.7, sa.2, ss.310-321, 2009 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 7 Sayı: 2
- Basım Tarihi: 2009
- Doi Numarası: 10.2478/s11533-009-0008-5
- Dergi Adı: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.310-321
- Anahtar Kelimeler: Harmonic numbers, Hyperharmonic numbers, r-Stirling numbers, Fibonacci numbers, Euler-Seidel matrices
- Akdeniz Üniversitesi Adresli: Evet
Özet
In this paper we use the Euler-Seidel method for deriving new identities for hyperharmonic and r-Stirling numbers. The exponential generating function is determined for hyperharmonic numbers, which result is a generalization of Gosper's identity. A classification of second order recurrence sequences is also given with the help of this method.