Description

• Title:
  One-parameter generalization of dual-hyperbolic Jacobsthal numbers
• Creator:
  Bród, Dorota;
  Szynal-Liana, Anetta;
  Włoch, Iwona
• Description:
  In this paper, we introduce one-parameter generalization of dualhyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover, we give the generating function and summation formula for these numbers. The presented results are a generalization of the results for the dual-hyperbolic Jacobsthal numbers.
• Object availability:
  free access
• Date:
  2023.04.02
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English;
  eng
• Source:
  Annales Mathematicae Silesianae; 2023: Online First;
  Annales Mathematicae Silesianae; 2023: Bieżące Publikacje Online;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/15439/11730
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/15439
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other