SOME IDENTITIES FOR DERANGEMENT NUMBERS

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KOPARAL S., ÖMÜR N., Sudemen K. N.

Miskolc Mathematical Notes, cilt.23, sa.2, ss.773-785, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.18514/mmn.2022.3842
  • Dergi Adı: Miskolc Mathematical Notes
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.773-785
  • Anahtar Kelimeler: derangement numbers, r-derangement numbers, Daehee numbers, harmonic num-bers, HARMONIC NUMBERS, SUMS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© 2022 Miskolc University PressIn this paper, we give some identities involving derangement numbers. In addition, we derive nonlinear differential equation from the generating function of r-derangement numbers and obtain some identities including generalized harmonic numbers and derangement numbers by using this differential equation. For example, for any positive integers N, n and r, (Formula Presented)