SOME IDENTITIES FOR DERANGEMENT NUMBERS

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KOPARAL S., ÖMÜR N., Sudemen K. N.

Miskolc Mathematical Notes, vol.23, no.2, pp.773-785, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 2
  • Publication Date: 2022
  • Doi Number: 10.18514/mmn.2022.3842
  • Journal Name: Miskolc Mathematical Notes
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.773-785
  • Keywords: derangement numbers, r-derangement numbers, Daehee numbers, harmonic num-bers, HARMONIC NUMBERS, SUMS
  • Open Archive Collection: AVESIS Open Access Collection
  • Bursa Uludag University Affiliated: Yes

Abstract

© 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)