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) identifier identifier

  • 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
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In 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,